41.597 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.063 * * * [progress]: [2/2] Setting up program. 0.068 * [progress]: [Phase 2 of 3] Improving. 0.068 * * * * [progress]: [ 1 / 1 ] simplifiying candidate # 0.069 * [simplify]: Simplifying: (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 0.069 * * [simplify]: iteration 0: 9 enodes 0.073 * * [simplify]: iteration 1: 22 enodes 0.082 * * [simplify]: iteration 2: 46 enodes 0.099 * * [simplify]: iteration 3: 95 enodes 0.134 * * [simplify]: iteration 4: 177 enodes 0.225 * * [simplify]: iteration 5: 339 enodes 0.360 * * [simplify]: iteration 6: 575 enodes 0.546 * * [simplify]: iteration 7: 1519 enodes 1.890 * * [simplify]: iteration complete: 5002 enodes 1.890 * * [simplify]: Extracting #0: cost 1 inf + 0 1.891 * * [simplify]: Extracting #1: cost 286 inf + 0 1.896 * * [simplify]: Extracting #2: cost 1023 inf + 1 1.913 * * [simplify]: Extracting #3: cost 1586 inf + 4035 1.942 * * [simplify]: Extracting #4: cost 952 inf + 73800 2.027 * * [simplify]: Extracting #5: cost 263 inf + 226185 2.147 * * [simplify]: Extracting #6: cost 22 inf + 292710 2.237 * * [simplify]: Extracting #7: cost 0 inf + 300274 2.310 * [simplify]: Simplified to: (- (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) 2.313 * * [progress]: iteration 1 / 4 2.313 * * * [progress]: picking best candidate 2.317 * * * * [pick]: Picked # 2.317 * * * [progress]: localizing error 2.333 * * * [progress]: generating rewritten candidates 2.333 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1) 2.588 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1 1) 2.665 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 2) 2.793 * * * [progress]: generating series expansions 2.793 * * * * [progress]: [ 1 / 3 ] generating series at (2 1) 2.793 * [backup-simplify]: Simplify (/ (- (* y y) (* x x)) (+ (* x x) (* y y))) into (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) 2.793 * [approximate]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in (y x) around 0 2.793 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in x 2.793 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in x 2.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.794 * [taylor]: Taking taylor expansion of y in x 2.794 * [backup-simplify]: Simplify y into y 2.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.794 * [taylor]: Taking taylor expansion of x in x 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.794 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.794 * [taylor]: Taking taylor expansion of y in x 2.794 * [backup-simplify]: Simplify y into y 2.794 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.794 * [taylor]: Taking taylor expansion of x in x 2.794 * [backup-simplify]: Simplify 0 into 0 2.794 * [backup-simplify]: Simplify 1 into 1 2.794 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.794 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.794 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.794 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.795 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 2.795 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in y 2.795 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 2.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.795 * [taylor]: Taking taylor expansion of y in y 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 1 into 1 2.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.795 * [taylor]: Taking taylor expansion of x in y 2.795 * [backup-simplify]: Simplify x into x 2.795 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.795 * [taylor]: Taking taylor expansion of y in y 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 1 into 1 2.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.795 * [taylor]: Taking taylor expansion of x in y 2.795 * [backup-simplify]: Simplify x into x 2.795 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.795 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 2.795 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 2.795 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.795 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.795 * [backup-simplify]: Simplify (/ (- (pow x 2)) (pow x 2)) into -1 2.795 * [taylor]: Taking taylor expansion of (/ (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2))) in y 2.795 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 2.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.795 * [taylor]: Taking taylor expansion of y in y 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 1 into 1 2.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.795 * [taylor]: Taking taylor expansion of x in y 2.795 * [backup-simplify]: Simplify x into x 2.795 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.795 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.795 * [taylor]: Taking taylor expansion of y in y 2.795 * [backup-simplify]: Simplify 0 into 0 2.795 * [backup-simplify]: Simplify 1 into 1 2.795 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.795 * [taylor]: Taking taylor expansion of x in y 2.795 * [backup-simplify]: Simplify x into x 2.796 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.796 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 2.796 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 2.796 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.796 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 2.796 * [backup-simplify]: Simplify (/ (- (pow x 2)) (pow x 2)) into -1 2.796 * [taylor]: Taking taylor expansion of -1 in x 2.796 * [backup-simplify]: Simplify -1 into -1 2.796 * [backup-simplify]: Simplify -1 into -1 2.796 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.797 * [backup-simplify]: Simplify (- 0) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.797 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.797 * [backup-simplify]: Simplify (+ 0 0) into 0 2.797 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* -1 (/ 0 (pow x 2))))) into 0 2.797 * [taylor]: Taking taylor expansion of 0 in x 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.797 * [backup-simplify]: Simplify 0 into 0 2.798 * [backup-simplify]: Simplify (* 1 1) into 1 2.798 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.798 * [backup-simplify]: Simplify (- 0) into 0 2.798 * [backup-simplify]: Simplify (+ 1 0) into 1 2.799 * [backup-simplify]: Simplify (* 1 1) into 1 2.799 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.799 * [backup-simplify]: Simplify (+ 1 0) into 1 2.800 * [backup-simplify]: Simplify (- (/ 1 (pow x 2)) (+ (* -1 (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (* 2 (/ 1 (pow x 2))) 2.800 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 2.800 * [taylor]: Taking taylor expansion of 2 in x 2.800 * [backup-simplify]: Simplify 2 into 2 2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.800 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.800 * [taylor]: Taking taylor expansion of x in x 2.800 * [backup-simplify]: Simplify 0 into 0 2.800 * [backup-simplify]: Simplify 1 into 1 2.800 * [backup-simplify]: Simplify (* 1 1) into 1 2.800 * [backup-simplify]: Simplify (/ 1 1) into 1 2.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.803 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.804 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.804 * [backup-simplify]: Simplify (- 0) into 0 2.804 * [backup-simplify]: Simplify (+ 0 0) into 0 2.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.805 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.805 * [backup-simplify]: Simplify (+ 0 0) into 0 2.806 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* -1 (/ 0 (pow x 2))) (* 0 (/ 1 (pow x 2))) (* (* 2 (/ 1 (pow x 2))) (/ 0 (pow x 2))))) into 0 2.806 * [taylor]: Taking taylor expansion of 0 in x 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify -1 into -1 2.806 * [backup-simplify]: Simplify (/ (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2.806 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 2.806 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.806 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.806 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.806 * [taylor]: Taking taylor expansion of y in x 2.806 * [backup-simplify]: Simplify y into y 2.806 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.806 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.806 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.806 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.806 * [taylor]: Taking taylor expansion of x in x 2.806 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify 1 into 1 2.807 * [backup-simplify]: Simplify (* 1 1) into 1 2.807 * [backup-simplify]: Simplify (/ 1 1) into 1 2.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.807 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.807 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.807 * [taylor]: Taking taylor expansion of y in x 2.807 * [backup-simplify]: Simplify y into y 2.807 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.807 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.807 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.807 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.807 * [taylor]: Taking taylor expansion of x in x 2.807 * [backup-simplify]: Simplify 0 into 0 2.807 * [backup-simplify]: Simplify 1 into 1 2.808 * [backup-simplify]: Simplify (* 1 1) into 1 2.808 * [backup-simplify]: Simplify (/ 1 1) into 1 2.808 * [backup-simplify]: Simplify (- 1) into -1 2.808 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.809 * [backup-simplify]: Simplify (+ 0 1) into 1 2.809 * [backup-simplify]: Simplify (/ -1 1) into -1 2.809 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.809 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.809 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.809 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.809 * [taylor]: Taking taylor expansion of y in y 2.809 * [backup-simplify]: Simplify 0 into 0 2.809 * [backup-simplify]: Simplify 1 into 1 2.809 * [backup-simplify]: Simplify (* 1 1) into 1 2.810 * [backup-simplify]: Simplify (/ 1 1) into 1 2.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.810 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.810 * [taylor]: Taking taylor expansion of x in y 2.810 * [backup-simplify]: Simplify x into x 2.810 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.810 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.810 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.810 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.810 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.810 * [taylor]: Taking taylor expansion of y in y 2.810 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify 1 into 1 2.810 * [backup-simplify]: Simplify (* 1 1) into 1 2.810 * [backup-simplify]: Simplify (/ 1 1) into 1 2.810 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.810 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.810 * [taylor]: Taking taylor expansion of x in y 2.810 * [backup-simplify]: Simplify x into x 2.811 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.811 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.811 * [backup-simplify]: Simplify (+ 1 0) into 1 2.811 * [backup-simplify]: Simplify (+ 1 0) into 1 2.811 * [backup-simplify]: Simplify (/ 1 1) into 1 2.811 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.811 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.811 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.811 * [taylor]: Taking taylor expansion of y in y 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (* 1 1) into 1 2.812 * [backup-simplify]: Simplify (/ 1 1) into 1 2.812 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.812 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.812 * [taylor]: Taking taylor expansion of x in y 2.812 * [backup-simplify]: Simplify x into x 2.812 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.812 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.812 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.812 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.812 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.812 * [taylor]: Taking taylor expansion of y in y 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (* 1 1) into 1 2.813 * [backup-simplify]: Simplify (/ 1 1) into 1 2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.813 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.813 * [taylor]: Taking taylor expansion of x in y 2.813 * [backup-simplify]: Simplify x into x 2.813 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.813 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.813 * [backup-simplify]: Simplify (+ 1 0) into 1 2.813 * [backup-simplify]: Simplify (+ 1 0) into 1 2.814 * [backup-simplify]: Simplify (/ 1 1) into 1 2.814 * [taylor]: Taking taylor expansion of 1 in x 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify 1 into 1 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (+ 0 0) into 0 2.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.816 * [backup-simplify]: Simplify (+ 0 0) into 0 2.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.817 * [taylor]: Taking taylor expansion of 0 in x 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify 0 into 0 2.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 2.818 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 2.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.819 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.820 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow x 2)))) 2.820 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x 2.820 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 2.820 * [taylor]: Taking taylor expansion of 2 in x 2.820 * [backup-simplify]: Simplify 2 into 2 2.820 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.820 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.820 * [taylor]: Taking taylor expansion of x in x 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (* 1 1) into 1 2.820 * [backup-simplify]: Simplify (/ 1 1) into 1 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.823 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.823 * [backup-simplify]: Simplify (- 0) into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.823 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.824 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.825 * [backup-simplify]: Simplify (- 0) into 0 2.825 * [backup-simplify]: Simplify (+ 0 0) into 0 2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.826 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.827 * [backup-simplify]: Simplify (+ 0 0) into 0 2.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 1)))) into 0 2.829 * [taylor]: Taking taylor expansion of 0 in x 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 0 into 0 2.829 * [backup-simplify]: Simplify 1 into 1 2.829 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 2.829 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (y x) around 0 2.829 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 2.829 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.829 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.829 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.829 * [taylor]: Taking taylor expansion of y in x 2.829 * [backup-simplify]: Simplify y into y 2.829 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.829 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.829 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.829 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.830 * [taylor]: Taking taylor expansion of x in x 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 1 into 1 2.830 * [backup-simplify]: Simplify (* 1 1) into 1 2.830 * [backup-simplify]: Simplify (/ 1 1) into 1 2.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.830 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.831 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.831 * [taylor]: Taking taylor expansion of y in x 2.831 * [backup-simplify]: Simplify y into y 2.831 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.831 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.831 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.831 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.831 * [taylor]: Taking taylor expansion of x in x 2.831 * [backup-simplify]: Simplify 0 into 0 2.831 * [backup-simplify]: Simplify 1 into 1 2.831 * [backup-simplify]: Simplify (* 1 1) into 1 2.832 * [backup-simplify]: Simplify (/ 1 1) into 1 2.832 * [backup-simplify]: Simplify (- 1) into -1 2.832 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.833 * [backup-simplify]: Simplify (+ 0 1) into 1 2.833 * [backup-simplify]: Simplify (/ -1 1) into -1 2.833 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.833 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.833 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.833 * [taylor]: Taking taylor expansion of y in y 2.833 * [backup-simplify]: Simplify 0 into 0 2.833 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (* 1 1) into 1 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.834 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.834 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.834 * [taylor]: Taking taylor expansion of x in y 2.834 * [backup-simplify]: Simplify x into x 2.834 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.835 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.835 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.835 * [taylor]: Taking taylor expansion of y in y 2.835 * [backup-simplify]: Simplify 0 into 0 2.835 * [backup-simplify]: Simplify 1 into 1 2.835 * [backup-simplify]: Simplify (* 1 1) into 1 2.835 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.836 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.836 * [taylor]: Taking taylor expansion of x in y 2.836 * [backup-simplify]: Simplify x into x 2.836 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.836 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.836 * [backup-simplify]: Simplify (+ 1 0) into 1 2.837 * [backup-simplify]: Simplify (+ 1 0) into 1 2.837 * [backup-simplify]: Simplify (/ 1 1) into 1 2.837 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 2.837 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.837 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.837 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.837 * [taylor]: Taking taylor expansion of y in y 2.837 * [backup-simplify]: Simplify 0 into 0 2.837 * [backup-simplify]: Simplify 1 into 1 2.838 * [backup-simplify]: Simplify (* 1 1) into 1 2.838 * [backup-simplify]: Simplify (/ 1 1) into 1 2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.838 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.838 * [taylor]: Taking taylor expansion of x in y 2.838 * [backup-simplify]: Simplify x into x 2.838 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.838 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.838 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.838 * [taylor]: Taking taylor expansion of y in y 2.838 * [backup-simplify]: Simplify 0 into 0 2.838 * [backup-simplify]: Simplify 1 into 1 2.839 * [backup-simplify]: Simplify (* 1 1) into 1 2.839 * [backup-simplify]: Simplify (/ 1 1) into 1 2.839 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.839 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.839 * [taylor]: Taking taylor expansion of x in y 2.839 * [backup-simplify]: Simplify x into x 2.839 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.839 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.840 * [backup-simplify]: Simplify (+ 1 0) into 1 2.840 * [backup-simplify]: Simplify (+ 1 0) into 1 2.841 * [backup-simplify]: Simplify (/ 1 1) into 1 2.841 * [taylor]: Taking taylor expansion of 1 in x 2.841 * [backup-simplify]: Simplify 1 into 1 2.841 * [backup-simplify]: Simplify 1 into 1 2.842 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.843 * [backup-simplify]: Simplify (+ 0 0) into 0 2.843 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.844 * [backup-simplify]: Simplify (+ 0 0) into 0 2.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 2.845 * [taylor]: Taking taylor expansion of 0 in x 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 0 into 0 2.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.847 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 2.848 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 2.849 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.850 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 2.851 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow x 2))) 1) (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (* 2 (/ 1 (pow x 2)))) 2.851 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x 2.851 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 2.851 * [taylor]: Taking taylor expansion of 2 in x 2.851 * [backup-simplify]: Simplify 2 into 2 2.851 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.851 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.851 * [taylor]: Taking taylor expansion of x in x 2.851 * [backup-simplify]: Simplify 0 into 0 2.851 * [backup-simplify]: Simplify 1 into 1 2.851 * [backup-simplify]: Simplify (* 1 1) into 1 2.852 * [backup-simplify]: Simplify (/ 1 1) into 1 2.853 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 2.856 * [backup-simplify]: Simplify (- 0) into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.856 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.859 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.860 * [backup-simplify]: Simplify (- 0) into 0 2.860 * [backup-simplify]: Simplify (+ 0 0) into 0 2.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.862 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.863 * [backup-simplify]: Simplify (+ 0 0) into 0 2.864 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (* 2 (/ 1 (pow x 2)))) (/ 0 1)))) into 0 2.864 * [taylor]: Taking taylor expansion of 0 in x 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 0 into 0 2.864 * [backup-simplify]: Simplify 1 into 1 2.864 * * * * [progress]: [ 2 / 3 ] generating series at (2 1 1) 2.865 * [backup-simplify]: Simplify (- (* y y) (* x x)) into (- (pow y 2) (pow x 2)) 2.865 * [approximate]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in (y x) around 0 2.865 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in x 2.865 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.865 * [taylor]: Taking taylor expansion of y in x 2.865 * [backup-simplify]: Simplify y into y 2.865 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.865 * [taylor]: Taking taylor expansion of x in x 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 2.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.865 * [taylor]: Taking taylor expansion of y in y 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.865 * [taylor]: Taking taylor expansion of x in y 2.865 * [backup-simplify]: Simplify x into x 2.865 * [taylor]: Taking taylor expansion of (- (pow y 2) (pow x 2)) in y 2.865 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.865 * [taylor]: Taking taylor expansion of y in y 2.865 * [backup-simplify]: Simplify 0 into 0 2.865 * [backup-simplify]: Simplify 1 into 1 2.865 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.865 * [taylor]: Taking taylor expansion of x in y 2.865 * [backup-simplify]: Simplify x into x 2.866 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.866 * [backup-simplify]: Simplify (- (pow x 2)) into (- (pow x 2)) 2.866 * [backup-simplify]: Simplify (+ 0 (- (pow x 2))) into (- (pow x 2)) 2.866 * [taylor]: Taking taylor expansion of (- (pow x 2)) in x 2.866 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.866 * [taylor]: Taking taylor expansion of x in x 2.866 * [backup-simplify]: Simplify 0 into 0 2.866 * [backup-simplify]: Simplify 1 into 1 2.866 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.867 * [backup-simplify]: Simplify (- 0) into 0 2.867 * [backup-simplify]: Simplify (+ 0 0) into 0 2.867 * [taylor]: Taking taylor expansion of 0 in x 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify (* 1 1) into 1 2.868 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.868 * [backup-simplify]: Simplify (- 0) into 0 2.869 * [backup-simplify]: Simplify (+ 1 0) into 1 2.869 * [taylor]: Taking taylor expansion of 1 in x 2.869 * [backup-simplify]: Simplify 1 into 1 2.869 * [backup-simplify]: Simplify 1 into 1 2.869 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (* 1 1) into 1 2.870 * [backup-simplify]: Simplify (- 1) into -1 2.870 * [backup-simplify]: Simplify -1 into -1 2.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.871 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 2.871 * [backup-simplify]: Simplify (- 0) into 0 2.872 * [backup-simplify]: Simplify (+ 0 0) into 0 2.872 * [taylor]: Taking taylor expansion of 0 in x 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.872 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.873 * [backup-simplify]: Simplify (- 0) into 0 2.873 * [backup-simplify]: Simplify 0 into 0 2.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.875 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x))))) into 0 2.875 * [backup-simplify]: Simplify (- 0) into 0 2.876 * [backup-simplify]: Simplify (+ 0 0) into 0 2.876 * [taylor]: Taking taylor expansion of 0 in x 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify 0 into 0 2.876 * [backup-simplify]: Simplify (+ (* -1 (pow (* x 1) 2)) (* 1 (pow (* 1 y) 2))) into (- (pow y 2) (pow x 2)) 2.877 * [backup-simplify]: Simplify (- (* (/ 1 y) (/ 1 y)) (* (/ 1 x) (/ 1 x))) into (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.877 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 2.877 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.877 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.877 * [taylor]: Taking taylor expansion of y in x 2.877 * [backup-simplify]: Simplify y into y 2.877 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.877 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.877 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.877 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.877 * [taylor]: Taking taylor expansion of x in x 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 1 into 1 2.877 * [backup-simplify]: Simplify (* 1 1) into 1 2.878 * [backup-simplify]: Simplify (/ 1 1) into 1 2.878 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.878 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.878 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.878 * [taylor]: Taking taylor expansion of y in y 2.878 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify 1 into 1 2.878 * [backup-simplify]: Simplify (* 1 1) into 1 2.879 * [backup-simplify]: Simplify (/ 1 1) into 1 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.879 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.879 * [taylor]: Taking taylor expansion of x in y 2.879 * [backup-simplify]: Simplify x into x 2.879 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.879 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.879 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.879 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.879 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.879 * [taylor]: Taking taylor expansion of y in y 2.879 * [backup-simplify]: Simplify 0 into 0 2.879 * [backup-simplify]: Simplify 1 into 1 2.880 * [backup-simplify]: Simplify (* 1 1) into 1 2.880 * [backup-simplify]: Simplify (/ 1 1) into 1 2.880 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.880 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.880 * [taylor]: Taking taylor expansion of x in y 2.880 * [backup-simplify]: Simplify x into x 2.880 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.880 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.881 * [backup-simplify]: Simplify (+ 1 0) into 1 2.881 * [taylor]: Taking taylor expansion of 1 in x 2.881 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.883 * [backup-simplify]: Simplify (+ 0 0) into 0 2.883 * [taylor]: Taking taylor expansion of 0 in x 2.883 * [backup-simplify]: Simplify 0 into 0 2.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.885 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 2.885 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 2.885 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.885 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.885 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.885 * [taylor]: Taking taylor expansion of x in x 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [backup-simplify]: Simplify (* 1 1) into 1 2.886 * [backup-simplify]: Simplify (/ 1 1) into 1 2.887 * [backup-simplify]: Simplify (- 1) into -1 2.887 * [backup-simplify]: Simplify -1 into -1 2.887 * [backup-simplify]: Simplify 1 into 1 2.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.889 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.890 * [backup-simplify]: Simplify (- 0) into 0 2.890 * [backup-simplify]: Simplify (+ 0 0) into 0 2.890 * [taylor]: Taking taylor expansion of 0 in x 2.890 * [backup-simplify]: Simplify 0 into 0 2.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.891 * [backup-simplify]: Simplify (- 0) into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.893 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.894 * [backup-simplify]: Simplify (- 0) into 0 2.894 * [backup-simplify]: Simplify (+ 0 0) into 0 2.894 * [taylor]: Taking taylor expansion of 0 in x 2.894 * [backup-simplify]: Simplify 0 into 0 2.894 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.895 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.895 * [backup-simplify]: Simplify (- 0) into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y))) 2)) (* -1 (pow (* (/ 1 (/ 1 x)) 1) 2))) into (- (pow y 2) (pow x 2)) 2.896 * [backup-simplify]: Simplify (- (* (/ 1 (- y)) (/ 1 (- y))) (* (/ 1 (- x)) (/ 1 (- x)))) into (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.896 * [approximate]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (y x) around 0 2.896 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.896 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.896 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.896 * [taylor]: Taking taylor expansion of y in x 2.896 * [backup-simplify]: Simplify y into y 2.896 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.896 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.896 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.896 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.896 * [taylor]: Taking taylor expansion of x in x 2.896 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (* 1 1) into 1 2.899 * [backup-simplify]: Simplify (/ 1 1) into 1 2.899 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.899 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.899 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.899 * [taylor]: Taking taylor expansion of y in y 2.899 * [backup-simplify]: Simplify 0 into 0 2.899 * [backup-simplify]: Simplify 1 into 1 2.899 * [backup-simplify]: Simplify (* 1 1) into 1 2.900 * [backup-simplify]: Simplify (/ 1 1) into 1 2.900 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.900 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.900 * [taylor]: Taking taylor expansion of x in y 2.900 * [backup-simplify]: Simplify x into x 2.900 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.900 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.900 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.900 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.900 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.900 * [taylor]: Taking taylor expansion of y in y 2.900 * [backup-simplify]: Simplify 0 into 0 2.900 * [backup-simplify]: Simplify 1 into 1 2.900 * [backup-simplify]: Simplify (* 1 1) into 1 2.900 * [backup-simplify]: Simplify (/ 1 1) into 1 2.901 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.901 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.901 * [taylor]: Taking taylor expansion of x in y 2.901 * [backup-simplify]: Simplify x into x 2.901 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.901 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.901 * [backup-simplify]: Simplify (+ 1 0) into 1 2.901 * [taylor]: Taking taylor expansion of 1 in x 2.901 * [backup-simplify]: Simplify 1 into 1 2.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.902 * [backup-simplify]: Simplify (+ 0 0) into 0 2.902 * [taylor]: Taking taylor expansion of 0 in x 2.902 * [backup-simplify]: Simplify 0 into 0 2.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.903 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 2.903 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (pow x 2)))) into (- (/ 1 (pow x 2))) 2.903 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 2.904 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.904 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.904 * [taylor]: Taking taylor expansion of x in x 2.904 * [backup-simplify]: Simplify 0 into 0 2.904 * [backup-simplify]: Simplify 1 into 1 2.904 * [backup-simplify]: Simplify (* 1 1) into 1 2.904 * [backup-simplify]: Simplify (/ 1 1) into 1 2.904 * [backup-simplify]: Simplify (- 1) into -1 2.904 * [backup-simplify]: Simplify -1 into -1 2.904 * [backup-simplify]: Simplify 1 into 1 2.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.906 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 2.906 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 2.906 * [backup-simplify]: Simplify (- 0) into 0 2.906 * [backup-simplify]: Simplify (+ 0 0) into 0 2.906 * [taylor]: Taking taylor expansion of 0 in x 2.906 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.907 * [backup-simplify]: Simplify (- 0) into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.907 * [backup-simplify]: Simplify 0 into 0 2.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.909 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 2.909 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into 0 2.910 * [backup-simplify]: Simplify (- 0) into 0 2.910 * [backup-simplify]: Simplify (+ 0 0) into 0 2.910 * [taylor]: Taking taylor expansion of 0 in x 2.910 * [backup-simplify]: Simplify 0 into 0 2.911 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.912 * [backup-simplify]: Simplify (- 0) into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y)))) 2)) (* -1 (pow (* (/ 1 (/ 1 (- x))) 1) 2))) into (- (pow y 2) (pow x 2)) 2.913 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 2) 2.913 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 2.913 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 2.913 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 2.913 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.913 * [taylor]: Taking taylor expansion of y in y 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.913 * [taylor]: Taking taylor expansion of x in y 2.913 * [backup-simplify]: Simplify x into x 2.913 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.913 * [taylor]: Taking taylor expansion of y in x 2.913 * [backup-simplify]: Simplify y into y 2.913 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.913 * [taylor]: Taking taylor expansion of x in x 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 2.913 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.913 * [taylor]: Taking taylor expansion of y in x 2.913 * [backup-simplify]: Simplify y into y 2.914 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.914 * [taylor]: Taking taylor expansion of x in x 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.914 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 2.914 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.914 * [taylor]: Taking taylor expansion of y in y 2.914 * [backup-simplify]: Simplify 0 into 0 2.914 * [backup-simplify]: Simplify 1 into 1 2.914 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.915 * [backup-simplify]: Simplify (+ 0 0) into 0 2.915 * [taylor]: Taking taylor expansion of 0 in y 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify 0 into 0 2.915 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.916 * [backup-simplify]: Simplify (* 1 1) into 1 2.916 * [backup-simplify]: Simplify (+ 0 1) into 1 2.916 * [taylor]: Taking taylor expansion of 1 in y 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify 1 into 1 2.916 * [backup-simplify]: Simplify 0 into 0 2.917 * [backup-simplify]: Simplify (* 1 1) into 1 2.917 * [backup-simplify]: Simplify 1 into 1 2.917 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 2.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.919 * [backup-simplify]: Simplify (+ 0 0) into 0 2.919 * [taylor]: Taking taylor expansion of 0 in y 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.919 * [backup-simplify]: Simplify 0 into 0 2.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.920 * [backup-simplify]: Simplify 0 into 0 2.921 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 2.922 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.922 * [backup-simplify]: Simplify (+ 0 0) into 0 2.922 * [taylor]: Taking taylor expansion of 0 in y 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.922 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 2.923 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.923 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 2.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.923 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.923 * [taylor]: Taking taylor expansion of y in y 2.923 * [backup-simplify]: Simplify 0 into 0 2.923 * [backup-simplify]: Simplify 1 into 1 2.924 * [backup-simplify]: Simplify (* 1 1) into 1 2.924 * [backup-simplify]: Simplify (/ 1 1) into 1 2.924 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.924 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.924 * [taylor]: Taking taylor expansion of x in y 2.924 * [backup-simplify]: Simplify x into x 2.924 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.924 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.924 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.924 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.924 * [taylor]: Taking taylor expansion of y in x 2.924 * [backup-simplify]: Simplify y into y 2.925 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.925 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.925 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.925 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.925 * [taylor]: Taking taylor expansion of x in x 2.925 * [backup-simplify]: Simplify 0 into 0 2.925 * [backup-simplify]: Simplify 1 into 1 2.925 * [backup-simplify]: Simplify (* 1 1) into 1 2.926 * [backup-simplify]: Simplify (/ 1 1) into 1 2.926 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.926 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.926 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.926 * [taylor]: Taking taylor expansion of y in x 2.926 * [backup-simplify]: Simplify y into y 2.926 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.926 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.926 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.926 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.926 * [taylor]: Taking taylor expansion of x in x 2.926 * [backup-simplify]: Simplify 0 into 0 2.926 * [backup-simplify]: Simplify 1 into 1 2.927 * [backup-simplify]: Simplify (* 1 1) into 1 2.927 * [backup-simplify]: Simplify (/ 1 1) into 1 2.927 * [backup-simplify]: Simplify (+ 0 1) into 1 2.927 * [taylor]: Taking taylor expansion of 1 in y 2.927 * [backup-simplify]: Simplify 1 into 1 2.928 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.929 * [backup-simplify]: Simplify (+ 0 0) into 0 2.929 * [taylor]: Taking taylor expansion of 0 in y 2.929 * [backup-simplify]: Simplify 0 into 0 2.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.932 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.932 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.932 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.932 * [taylor]: Taking taylor expansion of y in y 2.932 * [backup-simplify]: Simplify 0 into 0 2.932 * [backup-simplify]: Simplify 1 into 1 2.932 * [backup-simplify]: Simplify (* 1 1) into 1 2.933 * [backup-simplify]: Simplify (/ 1 1) into 1 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify 1 into 1 2.933 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.936 * [backup-simplify]: Simplify (+ 0 0) into 0 2.936 * [taylor]: Taking taylor expansion of 0 in y 2.936 * [backup-simplify]: Simplify 0 into 0 2.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.937 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.941 * [backup-simplify]: Simplify (+ 0 0) into 0 2.941 * [taylor]: Taking taylor expansion of 0 in y 2.941 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify 0 into 0 2.943 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.943 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 2.943 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 2.943 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.944 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.944 * [taylor]: Taking taylor expansion of y in y 2.944 * [backup-simplify]: Simplify 0 into 0 2.944 * [backup-simplify]: Simplify 1 into 1 2.944 * [backup-simplify]: Simplify (* 1 1) into 1 2.944 * [backup-simplify]: Simplify (/ 1 1) into 1 2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 2.944 * [taylor]: Taking taylor expansion of (pow x 2) in y 2.944 * [taylor]: Taking taylor expansion of x in y 2.944 * [backup-simplify]: Simplify x into x 2.944 * [backup-simplify]: Simplify (* x x) into (pow x 2) 2.944 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 2.944 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.944 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.944 * [taylor]: Taking taylor expansion of y in x 2.944 * [backup-simplify]: Simplify y into y 2.944 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.944 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.944 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.944 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.945 * [taylor]: Taking taylor expansion of x in x 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.945 * [backup-simplify]: Simplify (* 1 1) into 1 2.945 * [backup-simplify]: Simplify (/ 1 1) into 1 2.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 2.945 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 2.945 * [taylor]: Taking taylor expansion of (pow y 2) in x 2.945 * [taylor]: Taking taylor expansion of y in x 2.945 * [backup-simplify]: Simplify y into y 2.945 * [backup-simplify]: Simplify (* y y) into (pow y 2) 2.945 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 2.945 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 2.945 * [taylor]: Taking taylor expansion of (pow x 2) in x 2.945 * [taylor]: Taking taylor expansion of x in x 2.945 * [backup-simplify]: Simplify 0 into 0 2.945 * [backup-simplify]: Simplify 1 into 1 2.946 * [backup-simplify]: Simplify (* 1 1) into 1 2.946 * [backup-simplify]: Simplify (/ 1 1) into 1 2.946 * [backup-simplify]: Simplify (+ 0 1) into 1 2.946 * [taylor]: Taking taylor expansion of 1 in y 2.946 * [backup-simplify]: Simplify 1 into 1 2.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.947 * [backup-simplify]: Simplify (+ 0 0) into 0 2.947 * [taylor]: Taking taylor expansion of 0 in y 2.947 * [backup-simplify]: Simplify 0 into 0 2.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.948 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 2.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 2.949 * [taylor]: Taking taylor expansion of (pow y 2) in y 2.949 * [taylor]: Taking taylor expansion of y in y 2.949 * [backup-simplify]: Simplify 0 into 0 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (* 1 1) into 1 2.949 * [backup-simplify]: Simplify (/ 1 1) into 1 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify 1 into 1 2.949 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 2.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 2.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.951 * [backup-simplify]: Simplify (+ 0 0) into 0 2.951 * [taylor]: Taking taylor expansion of 0 in y 2.951 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify 0 into 0 2.952 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 2.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 2.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.954 * [backup-simplify]: Simplify (+ 0 0) into 0 2.954 * [taylor]: Taking taylor expansion of 0 in y 2.954 * [backup-simplify]: Simplify 0 into 0 2.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.955 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify 0 into 0 2.955 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 2.955 * * * [progress]: simplifying candidates 2.955 * * * * [progress]: [ 1 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 2 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 3 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 4 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 5 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 6 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 7 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 8 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 9 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 10 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 11 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 12 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 13 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 14 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 15 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 16 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 17 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 18 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 19 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 20 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 21 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 22 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 23 / 392 ] simplifiying candidate # 2.956 * * * * [progress]: [ 24 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 25 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 26 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 27 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 28 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 29 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 30 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 31 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 32 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 33 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 34 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 35 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 36 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 37 / 392 ] simplifiying candidate # 2.957 * * * * [progress]: [ 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simplifiying candidate # 2.973 * * * * [progress]: [ 390 / 392 ] simplifiying candidate # 2.973 * * * * [progress]: [ 391 / 392 ] simplifiying candidate # 2.973 * * * * [progress]: [ 392 / 392 ] simplifiying candidate # 2.982 * [simplify]: Simplifying: (- (log (- (* y y) (* x x))) (log (+ (* x x) (* y y)))) (log (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (exp (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (/ (* (* (- (* y y) (* x x)) (- (* y y) (* x x))) (- (* y y) (* x x))) (* (* (+ (* x x) (* y y)) (+ (* x x) (* y y))) (+ (* x x) (* y y)))) (* (cbrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (cbrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y))))) (cbrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (* (* (/ (- (* y y) (* x x)) (+ (* x x) (* y y))) (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (sqrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (sqrt (/ (- (* y y) (* x x)) (+ (* x x) (* y y)))) (- (- (* y y) (* x x))) (- (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (- (* y y) (* x x))) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (- (* y y) (* x x))) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) 1) (/ (cbrt (- (* y y) (* x x))) (+ (* x x) (* y y))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) 1) (/ (cbrt (- (* y y) (* x x))) (+ (* x x) (* y y))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) 1) (/ (cbrt (- (* y y) (* x x))) (+ (* x x) (* y y))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) (* 1 1)) (/ (cbrt (- (* y y) (* x x))) (+ (* x x) (* y y))) (/ (* (cbrt (- (* y y) (* x x))) (cbrt (- (* y y) (* x x)))) 1) (/ (cbrt (- (* y y) (* x x))) (+ (* x x) (* y y))) (/ (* (cbrt (- (* y y) (* x x))) 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3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (real->posit16 (+ (* x x) (* y y))) -1 1 1 (- (pow y 2) (pow x 2)) (- (pow y 2) (pow x 2)) (- (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 2.995 * * [simplify]: iteration 0: 197 enodes 3.057 * * [simplify]: iteration 1: 509 enodes 3.249 * * [simplify]: iteration 2: 1528 enodes 4.172 * * [simplify]: iteration complete: 5001 enodes 4.172 * * [simplify]: Extracting #0: cost 94 inf + 0 4.173 * * [simplify]: Extracting #1: cost 512 inf + 2 4.177 * * [simplify]: Extracting #2: cost 1730 inf + 2510 4.194 * * [simplify]: Extracting #3: cost 1288 inf + 85839 4.291 * * [simplify]: Extracting #4: cost 236 inf + 281400 4.365 * * [simplify]: Extracting #5: cost 30 inf + 335204 4.447 * * [simplify]: Extracting #6: cost 5 inf + 341229 4.522 * * [simplify]: Extracting #7: cost 0 inf + 342694 4.619 * [simplify]: Simplified to: (log (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (log (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (exp (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (* (* (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (* (cbrt (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (cbrt (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))))) (cbrt (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (* (* (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x)))) (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x 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(+ (* y y) (* x x)) (- y x)) (/ (+ (* y y) (* x x)) (- y x)) (/ (+ (* y y) (* x x)) (- y x)) (/ (+ (* y y) (* x x)) (- y x)) (/ (+ (* y y) (* x x)) (- y (fabs x))) (/ (+ (* y y) (* x x)) (- y x)) (/ (+ (* y y) (* x x)) (- y x)) (/ (+ (* y y) (* x x)) (- y x)) (/ (+ (* y y) (* x x)) (* (+ x y) (- y x))) (/ (+ (* y y) (* x x)) (* (+ x y) (- y x))) (/ (+ (* y y) (* x x)) (* (+ x y) (- y x))) (/ (+ (* y y) (* x x)) (* (+ x y) (- y x))) (/ (+ (* y y) (* x x)) (* (+ x y) (- y x))) (- (/ (* y y) (+ (* (* y y) (* (* y y) (* y y))) (* (* x x) (* (* x x) (* x x))))) (/ (* x x) (+ (* (* y y) (* (* y y) (* y y))) (* (* x x) (* (* x x) (* x x)))))) (- (/ (* y y) (- (* (* x x) (* x x)) (* (* y y) (* y y)))) (/ (* x x) (- (* (* x x) (* x x)) (* (* y y) (* y y))))) (+ (* (+ (* y y) (* x x)) (* (* x x) (* x x))) (* (+ (* y y) (* x x)) (* (+ (* y y) (* x x)) (* y y)))) (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (real->posit16 (- (/ (* y y) (+ (* y y) (* x x))) (/ (* x x) (+ (* y y) (* x x))))) (exp (- (* y y) (* x x))) (log (* (+ x y) (- y x))) (exp (- (* y y) (* x x))) (* (cbrt (* (+ x y) (- y x))) (cbrt (* (+ x y) (- y x)))) (cbrt (* (+ x y) (- y x))) (* (* (* (+ x y) (- y x)) (* (+ x y) (- y x))) (* (+ x y) (- y x))) (sqrt (* (+ x y) (- y x))) (sqrt (* (+ x y) (- y x))) (* (+ (* y (* y y)) (* x (* x x))) (- (* y (* y y)) (* x (* x x)))) (+ (* (* x x) (+ (* x x) (* y y))) (* (* y y) (* y y))) (* (- x) x) (- (* (* y y) (* y y)) (* (* x x) (* x x))) (+ (* x x) (* y y)) (+ y x) (- y x) (+ (fabs x) y) (- y (fabs x)) (+ y x) (- y x) (+ y x) (- y x) (+ y x) (- y x) (+ x (fabs y)) (- (fabs y) x) (+ (fabs y) (fabs x)) (- (fabs y) (fabs x)) (+ x (fabs y)) (- (fabs y) x) (+ x (fabs y)) (- (fabs y) x) (+ x (fabs y)) (- (fabs y) x) (+ y x) (- y x) (+ (fabs x) y) (- y (fabs x)) (+ y x) (- y x) (+ y x) (- y x) (+ y x) (- y x) (+ y x) (- y x) (+ (fabs x) y) (- y (fabs x)) (+ y x) (- y x) (+ y x) (- y x) (+ y x) (- y x) (+ y x) (- y x) (+ (fabs x) y) (- y (fabs x)) (+ y x) (- y x) (+ y x) (- y x) (+ y x) (- y x) (* (+ x y) (- y x)) (* (+ x y) (- y x)) (* (+ x y) (- y x)) (* (+ x y) (- y x)) (* (+ x y) (- y x)) (* (- x) x) (real->posit16 (* (+ x y) (- y x))) (exp (+ (* y y) (* x x))) (log (+ (* y y) (* x x))) (exp (+ (* x x) (* y y))) (* (cbrt (+ (* y y) (* x x))) (cbrt (+ (* y y) (* x x)))) (cbrt (+ (* y y) (* x x))) (* (* (+ (* y y) (* x x)) (+ (* y y) (* x x))) (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (sqrt (+ (* y y) (* x x))) (+ (* (* y y) (* (* y y) (* y y))) (* (* x x) (* (* x x) (* x x)))) (+ (* (* y y) (- (* y y) (* x x))) (* (* x x) (* x x))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (* (+ x y) (- x y)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (+ (* y y) (* x x)) (real->posit16 (+ (* y y) (* x x))) -1 1 1 (* (+ x y) (- y x)) (* (+ x y) (- y x)) (* (+ x y) (- y x)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) 4.663 * * * [progress]: adding candidates to table 5.215 * * [progress]: iteration 2 / 4 5.215 * * * [progress]: picking best candidate 5.222 * * * * [pick]: Picked # 5.222 * * * [progress]: localizing error 5.252 * * * [progress]: generating rewritten candidates 5.252 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 5.374 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 5.470 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.056 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 7.260 * * * [progress]: generating series expansions 7.260 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 7.260 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 7.260 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 7.260 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 7.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.260 * [taylor]: Taking taylor expansion of y in x 7.260 * [backup-simplify]: Simplify y into y 7.260 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 7.260 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.260 * [taylor]: Taking taylor expansion of y in x 7.260 * [backup-simplify]: Simplify y into y 7.260 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.260 * [taylor]: Taking taylor expansion of x in x 7.260 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify 1 into 1 7.260 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.260 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.261 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 7.261 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 7.261 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 7.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.261 * [taylor]: Taking taylor expansion of y in y 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 7.261 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.261 * [taylor]: Taking taylor expansion of y in y 7.261 * [backup-simplify]: Simplify 0 into 0 7.261 * [backup-simplify]: Simplify 1 into 1 7.261 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.261 * [taylor]: Taking taylor expansion of x in y 7.261 * [backup-simplify]: Simplify x into x 7.261 * [backup-simplify]: Simplify (* 1 1) into 1 7.261 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.262 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 7.262 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.262 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 7.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.262 * [taylor]: Taking taylor expansion of y in y 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 1 into 1 7.262 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 7.262 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.262 * [taylor]: Taking taylor expansion of y in y 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 1 into 1 7.262 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.262 * [taylor]: Taking taylor expansion of x in y 7.262 * [backup-simplify]: Simplify x into x 7.262 * [backup-simplify]: Simplify (* 1 1) into 1 7.262 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.262 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 7.262 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.262 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.262 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.262 * [taylor]: Taking taylor expansion of x in x 7.262 * [backup-simplify]: Simplify 0 into 0 7.262 * [backup-simplify]: Simplify 1 into 1 7.263 * [backup-simplify]: Simplify (* 1 1) into 1 7.263 * [backup-simplify]: Simplify (/ 1 1) into 1 7.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.265 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.265 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.265 * [backup-simplify]: Simplify (+ 0 0) into 0 7.266 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 7.266 * [taylor]: Taking taylor expansion of 0 in x 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify 0 into 0 7.266 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.267 * [backup-simplify]: Simplify 0 into 0 7.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.268 * [backup-simplify]: Simplify (* 1 1) into 1 7.268 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.268 * [backup-simplify]: Simplify (+ 1 0) into 1 7.269 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 7.269 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 7.269 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 7.269 * [taylor]: Taking taylor expansion of (pow x 4) in x 7.269 * [taylor]: Taking taylor expansion of x in x 7.269 * [backup-simplify]: Simplify 0 into 0 7.269 * [backup-simplify]: Simplify 1 into 1 7.269 * [backup-simplify]: Simplify (* 1 1) into 1 7.269 * [backup-simplify]: Simplify (* 1 1) into 1 7.269 * [backup-simplify]: Simplify (/ 1 1) into 1 7.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.270 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.276 * [backup-simplify]: Simplify (- 0) into 0 7.276 * [backup-simplify]: Simplify 0 into 0 7.276 * [backup-simplify]: Simplify 0 into 0 7.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.277 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 7.278 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 7.278 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 7.278 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 7.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.278 * [taylor]: Taking taylor expansion of y in x 7.278 * [backup-simplify]: Simplify y into y 7.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.278 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.278 * [taylor]: Taking taylor expansion of y in x 7.278 * [backup-simplify]: Simplify y into y 7.278 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.278 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.278 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.278 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.278 * [taylor]: Taking taylor expansion of x in x 7.278 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify 1 into 1 7.278 * [backup-simplify]: Simplify (* 1 1) into 1 7.279 * [backup-simplify]: Simplify (/ 1 1) into 1 7.279 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.279 * [backup-simplify]: Simplify (+ 0 1) into 1 7.279 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 7.279 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.279 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.279 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.279 * [taylor]: Taking taylor expansion of y in y 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify 1 into 1 7.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.279 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.279 * [taylor]: Taking taylor expansion of y in y 7.279 * [backup-simplify]: Simplify 0 into 0 7.279 * [backup-simplify]: Simplify 1 into 1 7.280 * [backup-simplify]: Simplify (* 1 1) into 1 7.280 * [backup-simplify]: Simplify (/ 1 1) into 1 7.280 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.280 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.280 * [taylor]: Taking taylor expansion of x in y 7.280 * [backup-simplify]: Simplify x into x 7.280 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.280 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.280 * [backup-simplify]: Simplify (* 1 1) into 1 7.280 * [backup-simplify]: Simplify (+ 1 0) into 1 7.281 * [backup-simplify]: Simplify (* 1 1) into 1 7.281 * [backup-simplify]: Simplify (/ 1 1) into 1 7.281 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.281 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.281 * [taylor]: Taking taylor expansion of y in y 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.281 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.281 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.281 * [taylor]: Taking taylor expansion of y in y 7.281 * [backup-simplify]: Simplify 0 into 0 7.281 * [backup-simplify]: Simplify 1 into 1 7.281 * [backup-simplify]: Simplify (* 1 1) into 1 7.282 * [backup-simplify]: Simplify (/ 1 1) into 1 7.282 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.282 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.282 * [taylor]: Taking taylor expansion of x in y 7.282 * [backup-simplify]: Simplify x into x 7.282 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.282 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.282 * [backup-simplify]: Simplify (* 1 1) into 1 7.282 * [backup-simplify]: Simplify (+ 1 0) into 1 7.283 * [backup-simplify]: Simplify (* 1 1) into 1 7.283 * [backup-simplify]: Simplify (/ 1 1) into 1 7.283 * [taylor]: Taking taylor expansion of 1 in x 7.283 * [backup-simplify]: Simplify 1 into 1 7.283 * [backup-simplify]: Simplify 0 into 0 7.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.285 * [backup-simplify]: Simplify (+ 0 0) into 0 7.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.297 * [taylor]: Taking taylor expansion of 0 in x 7.297 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify 0 into 0 7.297 * [backup-simplify]: Simplify 0 into 0 7.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.299 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 7.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.301 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 7.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 7.302 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 7.302 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.302 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.302 * [taylor]: Taking taylor expansion of x in x 7.302 * [backup-simplify]: Simplify 0 into 0 7.302 * [backup-simplify]: Simplify 1 into 1 7.303 * [backup-simplify]: Simplify (* 1 1) into 1 7.303 * [backup-simplify]: Simplify (/ 1 1) into 1 7.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.311 * [backup-simplify]: Simplify (- 0) into 0 7.311 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify 0 into 0 7.311 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 7.312 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 7.312 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 7.312 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 7.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.312 * [taylor]: Taking taylor expansion of y in x 7.312 * [backup-simplify]: Simplify y into y 7.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.312 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.312 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.312 * [taylor]: Taking taylor expansion of y in x 7.312 * [backup-simplify]: Simplify y into y 7.312 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.312 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.312 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.312 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.312 * [taylor]: Taking taylor expansion of x in x 7.312 * [backup-simplify]: Simplify 0 into 0 7.312 * [backup-simplify]: Simplify 1 into 1 7.313 * [backup-simplify]: Simplify (* 1 1) into 1 7.313 * [backup-simplify]: Simplify (/ 1 1) into 1 7.313 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.314 * [backup-simplify]: Simplify (+ 0 1) into 1 7.314 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 7.314 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.314 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.314 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.314 * [taylor]: Taking taylor expansion of y in y 7.314 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify 1 into 1 7.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.314 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.314 * [taylor]: Taking taylor expansion of y in y 7.314 * [backup-simplify]: Simplify 0 into 0 7.314 * [backup-simplify]: Simplify 1 into 1 7.315 * [backup-simplify]: Simplify (* 1 1) into 1 7.315 * [backup-simplify]: Simplify (/ 1 1) into 1 7.315 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.315 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.315 * [taylor]: Taking taylor expansion of x in y 7.315 * [backup-simplify]: Simplify x into x 7.315 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.315 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.316 * [backup-simplify]: Simplify (* 1 1) into 1 7.316 * [backup-simplify]: Simplify (+ 1 0) into 1 7.317 * [backup-simplify]: Simplify (* 1 1) into 1 7.317 * [backup-simplify]: Simplify (/ 1 1) into 1 7.317 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.317 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.317 * [taylor]: Taking taylor expansion of y in y 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 1 into 1 7.317 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.317 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.317 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.317 * [taylor]: Taking taylor expansion of y in y 7.317 * [backup-simplify]: Simplify 0 into 0 7.317 * [backup-simplify]: Simplify 1 into 1 7.318 * [backup-simplify]: Simplify (* 1 1) into 1 7.318 * [backup-simplify]: Simplify (/ 1 1) into 1 7.318 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.318 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.318 * [taylor]: Taking taylor expansion of x in y 7.318 * [backup-simplify]: Simplify x into x 7.318 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.319 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.319 * [backup-simplify]: Simplify (* 1 1) into 1 7.319 * [backup-simplify]: Simplify (+ 1 0) into 1 7.320 * [backup-simplify]: Simplify (* 1 1) into 1 7.320 * [backup-simplify]: Simplify (/ 1 1) into 1 7.320 * [taylor]: Taking taylor expansion of 1 in x 7.320 * [backup-simplify]: Simplify 1 into 1 7.320 * [backup-simplify]: Simplify 0 into 0 7.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.322 * [backup-simplify]: Simplify (+ 0 0) into 0 7.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.324 * [taylor]: Taking taylor expansion of 0 in x 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.324 * [backup-simplify]: Simplify 0 into 0 7.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.327 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 7.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.328 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 7.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 7.329 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 7.329 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.329 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.329 * [taylor]: Taking taylor expansion of x in x 7.329 * [backup-simplify]: Simplify 0 into 0 7.329 * [backup-simplify]: Simplify 1 into 1 7.330 * [backup-simplify]: Simplify (* 1 1) into 1 7.330 * [backup-simplify]: Simplify (/ 1 1) into 1 7.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.338 * [backup-simplify]: Simplify (- 0) into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * [backup-simplify]: Simplify 0 into 0 7.338 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 7.339 * [backup-simplify]: Simplify (/ (* x x) (+ (* x x) (* y y))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 7.339 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 7.339 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 7.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.339 * [taylor]: Taking taylor expansion of x in y 7.339 * [backup-simplify]: Simplify x into x 7.339 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 7.339 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.339 * [taylor]: Taking taylor expansion of y in y 7.339 * [backup-simplify]: Simplify 0 into 0 7.339 * [backup-simplify]: Simplify 1 into 1 7.339 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.339 * [taylor]: Taking taylor expansion of x in y 7.339 * [backup-simplify]: Simplify x into x 7.339 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.339 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.339 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 7.339 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 7.340 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 7.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.340 * [taylor]: Taking taylor expansion of x in x 7.340 * [backup-simplify]: Simplify 0 into 0 7.340 * [backup-simplify]: Simplify 1 into 1 7.340 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 7.340 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.340 * [taylor]: Taking taylor expansion of y in x 7.340 * [backup-simplify]: Simplify y into y 7.340 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.340 * [taylor]: Taking taylor expansion of x in x 7.340 * [backup-simplify]: Simplify 0 into 0 7.340 * [backup-simplify]: Simplify 1 into 1 7.340 * [backup-simplify]: Simplify (* 1 1) into 1 7.340 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.341 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 7.341 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.341 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 7.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.341 * [taylor]: Taking taylor expansion of x in x 7.341 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify 1 into 1 7.341 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 7.341 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.341 * [taylor]: Taking taylor expansion of y in x 7.341 * [backup-simplify]: Simplify y into y 7.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.341 * [taylor]: Taking taylor expansion of x in x 7.341 * [backup-simplify]: Simplify 0 into 0 7.341 * [backup-simplify]: Simplify 1 into 1 7.341 * [backup-simplify]: Simplify (* 1 1) into 1 7.341 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.342 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 7.342 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.342 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.342 * [taylor]: Taking taylor expansion of y in y 7.342 * [backup-simplify]: Simplify 0 into 0 7.342 * [backup-simplify]: Simplify 1 into 1 7.342 * [backup-simplify]: Simplify (* 1 1) into 1 7.343 * [backup-simplify]: Simplify (/ 1 1) into 1 7.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.346 * [backup-simplify]: Simplify 0 into 0 7.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.347 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.347 * [backup-simplify]: Simplify (+ 0 0) into 0 7.348 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.348 * [taylor]: Taking taylor expansion of 0 in y 7.348 * [backup-simplify]: Simplify 0 into 0 7.348 * [backup-simplify]: Simplify 0 into 0 7.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.350 * [backup-simplify]: Simplify 0 into 0 7.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.351 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.351 * [backup-simplify]: Simplify (* 1 1) into 1 7.352 * [backup-simplify]: Simplify (+ 0 1) into 1 7.352 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 7.353 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 7.353 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 7.353 * [taylor]: Taking taylor expansion of (pow y 4) in y 7.353 * [taylor]: Taking taylor expansion of y in y 7.353 * [backup-simplify]: Simplify 0 into 0 7.353 * [backup-simplify]: Simplify 1 into 1 7.353 * [backup-simplify]: Simplify (* 1 1) into 1 7.353 * [backup-simplify]: Simplify (* 1 1) into 1 7.354 * [backup-simplify]: Simplify (/ 1 1) into 1 7.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.357 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.360 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.365 * [backup-simplify]: Simplify (- 0) into 0 7.366 * [backup-simplify]: Simplify 0 into 0 7.366 * [backup-simplify]: Simplify 0 into 0 7.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.368 * [backup-simplify]: Simplify 0 into 0 7.368 * [backup-simplify]: Simplify 0 into 0 7.368 * [backup-simplify]: Simplify (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 7.368 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 7.368 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.368 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.368 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.368 * [taylor]: Taking taylor expansion of x in y 7.368 * [backup-simplify]: Simplify x into x 7.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.368 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.368 * [taylor]: Taking taylor expansion of y in y 7.368 * [backup-simplify]: Simplify 0 into 0 7.368 * [backup-simplify]: Simplify 1 into 1 7.369 * [backup-simplify]: Simplify (* 1 1) into 1 7.369 * [backup-simplify]: Simplify (/ 1 1) into 1 7.369 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.369 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.369 * [taylor]: Taking taylor expansion of x in y 7.369 * [backup-simplify]: Simplify x into x 7.369 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.370 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.370 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.370 * [backup-simplify]: Simplify (+ 1 0) into 1 7.370 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.370 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.370 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 7.371 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 7.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.371 * [taylor]: Taking taylor expansion of x in x 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify 1 into 1 7.371 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.371 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.371 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.371 * [taylor]: Taking taylor expansion of y in x 7.371 * [backup-simplify]: Simplify y into y 7.371 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.371 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.371 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.371 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.371 * [taylor]: Taking taylor expansion of x in x 7.371 * [backup-simplify]: Simplify 0 into 0 7.371 * [backup-simplify]: Simplify 1 into 1 7.372 * [backup-simplify]: Simplify (* 1 1) into 1 7.372 * [backup-simplify]: Simplify (/ 1 1) into 1 7.372 * [backup-simplify]: Simplify (* 1 1) into 1 7.373 * [backup-simplify]: Simplify (+ 0 1) into 1 7.373 * [backup-simplify]: Simplify (* 1 1) into 1 7.374 * [backup-simplify]: Simplify (/ 1 1) into 1 7.374 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 7.374 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 7.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.374 * [taylor]: Taking taylor expansion of x in x 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 1 into 1 7.374 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.374 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.374 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.374 * [taylor]: Taking taylor expansion of y in x 7.374 * [backup-simplify]: Simplify y into y 7.374 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.374 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.374 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.374 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.374 * [taylor]: Taking taylor expansion of x in x 7.374 * [backup-simplify]: Simplify 0 into 0 7.374 * [backup-simplify]: Simplify 1 into 1 7.375 * [backup-simplify]: Simplify (* 1 1) into 1 7.375 * [backup-simplify]: Simplify (/ 1 1) into 1 7.375 * [backup-simplify]: Simplify (* 1 1) into 1 7.376 * [backup-simplify]: Simplify (+ 0 1) into 1 7.376 * [backup-simplify]: Simplify (* 1 1) into 1 7.377 * [backup-simplify]: Simplify (/ 1 1) into 1 7.377 * [taylor]: Taking taylor expansion of 1 in y 7.377 * [backup-simplify]: Simplify 1 into 1 7.377 * [backup-simplify]: Simplify 0 into 0 7.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.379 * [backup-simplify]: Simplify (+ 0 0) into 0 7.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.381 * [taylor]: Taking taylor expansion of 0 in y 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify 0 into 0 7.381 * [backup-simplify]: Simplify 0 into 0 7.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.383 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 7.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.385 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 7.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 7.386 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.386 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.386 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.386 * [taylor]: Taking taylor expansion of y in y 7.386 * [backup-simplify]: Simplify 0 into 0 7.386 * [backup-simplify]: Simplify 1 into 1 7.387 * [backup-simplify]: Simplify (* 1 1) into 1 7.387 * [backup-simplify]: Simplify (/ 1 1) into 1 7.388 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.389 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.391 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.395 * [backup-simplify]: Simplify (- 0) into 0 7.395 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify 0 into 0 7.395 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 7.396 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 7.396 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.396 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.396 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.396 * [taylor]: Taking taylor expansion of x in y 7.396 * [backup-simplify]: Simplify x into x 7.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.396 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.396 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.396 * [taylor]: Taking taylor expansion of y in y 7.396 * [backup-simplify]: Simplify 0 into 0 7.396 * [backup-simplify]: Simplify 1 into 1 7.397 * [backup-simplify]: Simplify (* 1 1) into 1 7.397 * [backup-simplify]: Simplify (/ 1 1) into 1 7.397 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.397 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.397 * [taylor]: Taking taylor expansion of x in y 7.397 * [backup-simplify]: Simplify x into x 7.397 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.397 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.397 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.398 * [backup-simplify]: Simplify (+ 1 0) into 1 7.398 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.398 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.398 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 7.398 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 7.398 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.398 * [taylor]: Taking taylor expansion of x in x 7.398 * [backup-simplify]: Simplify 0 into 0 7.398 * [backup-simplify]: Simplify 1 into 1 7.398 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.398 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.398 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.398 * [taylor]: Taking taylor expansion of y in x 7.399 * [backup-simplify]: Simplify y into y 7.399 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.399 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.399 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.399 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.399 * [taylor]: Taking taylor expansion of x in x 7.399 * [backup-simplify]: Simplify 0 into 0 7.399 * [backup-simplify]: Simplify 1 into 1 7.399 * [backup-simplify]: Simplify (* 1 1) into 1 7.400 * [backup-simplify]: Simplify (/ 1 1) into 1 7.400 * [backup-simplify]: Simplify (* 1 1) into 1 7.400 * [backup-simplify]: Simplify (+ 0 1) into 1 7.401 * [backup-simplify]: Simplify (* 1 1) into 1 7.401 * [backup-simplify]: Simplify (/ 1 1) into 1 7.401 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 7.401 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 7.401 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.401 * [taylor]: Taking taylor expansion of x in x 7.401 * [backup-simplify]: Simplify 0 into 0 7.401 * [backup-simplify]: Simplify 1 into 1 7.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.401 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.402 * [taylor]: Taking taylor expansion of y in x 7.402 * [backup-simplify]: Simplify y into y 7.402 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.402 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.402 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.402 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.402 * [taylor]: Taking taylor expansion of x in x 7.402 * [backup-simplify]: Simplify 0 into 0 7.402 * [backup-simplify]: Simplify 1 into 1 7.402 * [backup-simplify]: Simplify (* 1 1) into 1 7.403 * [backup-simplify]: Simplify (/ 1 1) into 1 7.403 * [backup-simplify]: Simplify (* 1 1) into 1 7.404 * [backup-simplify]: Simplify (+ 0 1) into 1 7.404 * [backup-simplify]: Simplify (* 1 1) into 1 7.404 * [backup-simplify]: Simplify (/ 1 1) into 1 7.404 * [taylor]: Taking taylor expansion of 1 in y 7.404 * [backup-simplify]: Simplify 1 into 1 7.404 * [backup-simplify]: Simplify 0 into 0 7.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.406 * [backup-simplify]: Simplify (+ 0 0) into 0 7.407 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.408 * [taylor]: Taking taylor expansion of 0 in y 7.408 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify 0 into 0 7.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.411 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 7.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.412 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 7.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 7.413 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 7.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.413 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.413 * [taylor]: Taking taylor expansion of y in y 7.413 * [backup-simplify]: Simplify 0 into 0 7.413 * [backup-simplify]: Simplify 1 into 1 7.414 * [backup-simplify]: Simplify (* 1 1) into 1 7.414 * [backup-simplify]: Simplify (/ 1 1) into 1 7.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.422 * [backup-simplify]: Simplify (- 0) into 0 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * [backup-simplify]: Simplify 0 into 0 7.422 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.423 * [backup-simplify]: Simplify (- (/ (* y y) (+ (* x x) (* y y))) (/ (* x x) (+ (* x x) (* y y)))) into (- (/ (pow y 2) (+ (pow y 2) (pow x 2))) (/ (pow x 2) (+ (pow y 2) (pow x 2)))) 7.423 * [approximate]: Taking taylor expansion of (- (/ (pow y 2) (+ (pow y 2) (pow x 2))) (/ (pow x 2) (+ (pow y 2) (pow x 2)))) in (y x) around 0 7.423 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) (+ (pow y 2) (pow x 2))) (/ (pow x 2) (+ (pow y 2) (pow x 2)))) in x 7.423 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 7.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.423 * [taylor]: Taking taylor expansion of y in x 7.423 * [backup-simplify]: Simplify y into y 7.423 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 7.423 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.423 * [taylor]: Taking taylor expansion of y in x 7.423 * [backup-simplify]: Simplify y into y 7.423 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.423 * [taylor]: Taking taylor expansion of x in x 7.423 * [backup-simplify]: Simplify 0 into 0 7.423 * [backup-simplify]: Simplify 1 into 1 7.423 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.423 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.424 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 7.424 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 7.424 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 7.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.424 * [taylor]: Taking taylor expansion of x in x 7.424 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify 1 into 1 7.424 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 7.424 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.424 * [taylor]: Taking taylor expansion of y in x 7.424 * [backup-simplify]: Simplify y into y 7.424 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.424 * [taylor]: Taking taylor expansion of x in x 7.424 * [backup-simplify]: Simplify 0 into 0 7.424 * [backup-simplify]: Simplify 1 into 1 7.425 * [backup-simplify]: Simplify (* 1 1) into 1 7.425 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.425 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 7.425 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.425 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) (+ (pow y 2) (pow x 2))) (/ (pow x 2) (+ (pow y 2) (pow x 2)))) in y 7.425 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 7.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.425 * [taylor]: Taking taylor expansion of y in y 7.425 * [backup-simplify]: Simplify 0 into 0 7.425 * [backup-simplify]: Simplify 1 into 1 7.425 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 7.425 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.425 * [taylor]: Taking taylor expansion of y in y 7.425 * [backup-simplify]: Simplify 0 into 0 7.425 * [backup-simplify]: Simplify 1 into 1 7.425 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.425 * [taylor]: Taking taylor expansion of x in y 7.425 * [backup-simplify]: Simplify x into x 7.426 * [backup-simplify]: Simplify (* 1 1) into 1 7.426 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.426 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 7.426 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.426 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 7.426 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.426 * [taylor]: Taking taylor expansion of x in y 7.426 * [backup-simplify]: Simplify x into x 7.426 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 7.426 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.426 * [taylor]: Taking taylor expansion of y in y 7.426 * [backup-simplify]: Simplify 0 into 0 7.426 * [backup-simplify]: Simplify 1 into 1 7.426 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.426 * [taylor]: Taking taylor expansion of x in y 7.426 * [backup-simplify]: Simplify x into x 7.427 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.427 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.427 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 7.427 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 7.427 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) (+ (pow y 2) (pow x 2))) (/ (pow x 2) (+ (pow y 2) (pow x 2)))) in y 7.427 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 7.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.427 * [taylor]: Taking taylor expansion of y in y 7.427 * [backup-simplify]: Simplify 0 into 0 7.427 * [backup-simplify]: Simplify 1 into 1 7.427 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 7.427 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.427 * [taylor]: Taking taylor expansion of y in y 7.427 * [backup-simplify]: Simplify 0 into 0 7.427 * [backup-simplify]: Simplify 1 into 1 7.427 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.427 * [taylor]: Taking taylor expansion of x in y 7.427 * [backup-simplify]: Simplify x into x 7.428 * [backup-simplify]: Simplify (* 1 1) into 1 7.428 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.428 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 7.428 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.428 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 7.428 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.428 * [taylor]: Taking taylor expansion of x in y 7.428 * [backup-simplify]: Simplify x into x 7.428 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 7.428 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.428 * [taylor]: Taking taylor expansion of y in y 7.428 * [backup-simplify]: Simplify 0 into 0 7.428 * [backup-simplify]: Simplify 1 into 1 7.428 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.428 * [taylor]: Taking taylor expansion of x in y 7.429 * [backup-simplify]: Simplify x into x 7.429 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.429 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.429 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 7.429 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 7.429 * [backup-simplify]: Simplify (- 1) into -1 7.430 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.430 * [taylor]: Taking taylor expansion of -1 in x 7.430 * [backup-simplify]: Simplify -1 into -1 7.430 * [backup-simplify]: Simplify -1 into -1 7.430 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.430 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.431 * [backup-simplify]: Simplify (+ 0 0) into 0 7.431 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))))) into 0 7.431 * [backup-simplify]: Simplify (- 0) into 0 7.432 * [backup-simplify]: Simplify (+ 0 0) into 0 7.432 * [taylor]: Taking taylor expansion of 0 in x 7.432 * [backup-simplify]: Simplify 0 into 0 7.432 * [backup-simplify]: Simplify 0 into 0 7.432 * [backup-simplify]: Simplify 0 into 0 7.432 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.433 * [backup-simplify]: Simplify (* 1 1) into 1 7.433 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 7.434 * [backup-simplify]: Simplify (+ 1 0) into 1 7.434 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 2))) 7.434 * [backup-simplify]: Simplify (- (- (/ 1 (pow x 2)))) into (/ 1 (pow x 2)) 7.434 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow x 2))) into (* 2 (/ 1 (pow x 2))) 7.434 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 7.434 * [taylor]: Taking taylor expansion of 2 in x 7.435 * [backup-simplify]: Simplify 2 into 2 7.435 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.435 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.435 * [taylor]: Taking taylor expansion of x in x 7.435 * [backup-simplify]: Simplify 0 into 0 7.435 * [backup-simplify]: Simplify 1 into 1 7.435 * [backup-simplify]: Simplify (* 1 1) into 1 7.436 * [backup-simplify]: Simplify (/ 1 1) into 1 7.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.440 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.440 * [backup-simplify]: Simplify 0 into 0 7.440 * [backup-simplify]: Simplify 0 into 0 7.440 * [backup-simplify]: Simplify 0 into 0 7.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.441 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.442 * [backup-simplify]: Simplify (+ 0 0) into 0 7.442 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 7.443 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.444 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 7.445 * [backup-simplify]: Simplify (+ 0 0) into 0 7.446 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))) (* 0 (/ 1 (pow x 2))) (* (- (/ 1 (pow x 2))) (/ 0 (pow x 2))))) into 0 7.446 * [backup-simplify]: Simplify (- 0) into 0 7.447 * [backup-simplify]: Simplify (+ 0 0) into 0 7.447 * [taylor]: Taking taylor expansion of 0 in x 7.447 * [backup-simplify]: Simplify 0 into 0 7.447 * [backup-simplify]: Simplify 0 into 0 7.447 * [backup-simplify]: Simplify -1 into -1 7.448 * [backup-simplify]: Simplify (- (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ (* (/ 1 x) (/ 1 x)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))))) into (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 7.448 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (y x) around 0 7.448 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 7.448 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 7.448 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 7.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.448 * [taylor]: Taking taylor expansion of y in x 7.448 * [backup-simplify]: Simplify y into y 7.448 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.448 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.448 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.448 * [taylor]: Taking taylor expansion of y in x 7.448 * [backup-simplify]: Simplify y into y 7.448 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.448 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.448 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.448 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.448 * [taylor]: Taking taylor expansion of x in x 7.449 * [backup-simplify]: Simplify 0 into 0 7.449 * [backup-simplify]: Simplify 1 into 1 7.450 * [backup-simplify]: Simplify (* 1 1) into 1 7.451 * [backup-simplify]: Simplify (/ 1 1) into 1 7.451 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.452 * [backup-simplify]: Simplify (+ 0 1) into 1 7.452 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 7.452 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.452 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 7.452 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 7.452 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.452 * [taylor]: Taking taylor expansion of x in x 7.452 * [backup-simplify]: Simplify 0 into 0 7.452 * [backup-simplify]: Simplify 1 into 1 7.452 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.452 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.452 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.452 * [taylor]: Taking taylor expansion of y in x 7.452 * [backup-simplify]: Simplify y into y 7.452 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.452 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.452 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.453 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.453 * [taylor]: Taking taylor expansion of x in x 7.453 * [backup-simplify]: Simplify 0 into 0 7.453 * [backup-simplify]: Simplify 1 into 1 7.453 * [backup-simplify]: Simplify (* 1 1) into 1 7.453 * [backup-simplify]: Simplify (/ 1 1) into 1 7.454 * [backup-simplify]: Simplify (* 1 1) into 1 7.454 * [backup-simplify]: Simplify (+ 0 1) into 1 7.455 * [backup-simplify]: Simplify (* 1 1) into 1 7.455 * [backup-simplify]: Simplify (/ 1 1) into 1 7.455 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 7.455 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.455 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.455 * [taylor]: Taking taylor expansion of y in y 7.455 * [backup-simplify]: Simplify 0 into 0 7.455 * [backup-simplify]: Simplify 1 into 1 7.455 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.455 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.455 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.455 * [taylor]: Taking taylor expansion of y in y 7.455 * [backup-simplify]: Simplify 0 into 0 7.455 * [backup-simplify]: Simplify 1 into 1 7.456 * [backup-simplify]: Simplify (* 1 1) into 1 7.456 * [backup-simplify]: Simplify (/ 1 1) into 1 7.456 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.456 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.456 * [taylor]: Taking taylor expansion of x in y 7.456 * [backup-simplify]: Simplify x into x 7.456 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.456 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.457 * [backup-simplify]: Simplify (* 1 1) into 1 7.457 * [backup-simplify]: Simplify (+ 1 0) into 1 7.458 * [backup-simplify]: Simplify (* 1 1) into 1 7.458 * [backup-simplify]: Simplify (/ 1 1) into 1 7.458 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.458 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.458 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.458 * [taylor]: Taking taylor expansion of x in y 7.458 * [backup-simplify]: Simplify x into x 7.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.458 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.458 * [taylor]: Taking taylor expansion of y in y 7.458 * [backup-simplify]: Simplify 0 into 0 7.458 * [backup-simplify]: Simplify 1 into 1 7.459 * [backup-simplify]: Simplify (* 1 1) into 1 7.459 * [backup-simplify]: Simplify (/ 1 1) into 1 7.459 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.459 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.459 * [taylor]: Taking taylor expansion of x in y 7.459 * [backup-simplify]: Simplify x into x 7.459 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.460 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.460 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.460 * [backup-simplify]: Simplify (+ 1 0) into 1 7.460 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.460 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.460 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 7.460 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.460 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.460 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.461 * [taylor]: Taking taylor expansion of y in y 7.461 * [backup-simplify]: Simplify 0 into 0 7.461 * [backup-simplify]: Simplify 1 into 1 7.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.461 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.461 * [taylor]: Taking taylor expansion of y in y 7.461 * [backup-simplify]: Simplify 0 into 0 7.461 * [backup-simplify]: Simplify 1 into 1 7.461 * [backup-simplify]: Simplify (* 1 1) into 1 7.461 * [backup-simplify]: Simplify (/ 1 1) into 1 7.462 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.462 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.462 * [taylor]: Taking taylor expansion of x in y 7.462 * [backup-simplify]: Simplify x into x 7.462 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.462 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.462 * [backup-simplify]: Simplify (* 1 1) into 1 7.463 * [backup-simplify]: Simplify (+ 1 0) into 1 7.463 * [backup-simplify]: Simplify (* 1 1) into 1 7.463 * [backup-simplify]: Simplify (/ 1 1) into 1 7.463 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.463 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.464 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.464 * [taylor]: Taking taylor expansion of x in y 7.464 * [backup-simplify]: Simplify x into x 7.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.464 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.464 * [taylor]: Taking taylor expansion of y in y 7.464 * [backup-simplify]: Simplify 0 into 0 7.464 * [backup-simplify]: Simplify 1 into 1 7.464 * [backup-simplify]: Simplify (* 1 1) into 1 7.464 * [backup-simplify]: Simplify (/ 1 1) into 1 7.465 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.465 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.465 * [taylor]: Taking taylor expansion of x in y 7.465 * [backup-simplify]: Simplify x into x 7.465 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.465 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.465 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.465 * [backup-simplify]: Simplify (+ 1 0) into 1 7.466 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.466 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.466 * [backup-simplify]: Simplify (+ 1 0) into 1 7.466 * [taylor]: Taking taylor expansion of 1 in x 7.466 * [backup-simplify]: Simplify 1 into 1 7.466 * [backup-simplify]: Simplify 1 into 1 7.467 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.468 * [backup-simplify]: Simplify (+ 0 0) into 0 7.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.471 * [backup-simplify]: Simplify (+ 0 0) into 0 7.471 * [taylor]: Taking taylor expansion of 0 in x 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.471 * [backup-simplify]: Simplify 0 into 0 7.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.473 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 7.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.475 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 7.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 7.476 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 7.476 * [backup-simplify]: Simplify (+ (- (/ 1 (pow x 2))) (- (/ 1 (pow x 2)))) into (- (* 2 (/ 1 (pow x 2)))) 7.476 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x 7.476 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 7.476 * [taylor]: Taking taylor expansion of 2 in x 7.476 * [backup-simplify]: Simplify 2 into 2 7.476 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.476 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.476 * [taylor]: Taking taylor expansion of x in x 7.476 * [backup-simplify]: Simplify 0 into 0 7.476 * [backup-simplify]: Simplify 1 into 1 7.477 * [backup-simplify]: Simplify (* 1 1) into 1 7.477 * [backup-simplify]: Simplify (/ 1 1) into 1 7.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.482 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.482 * [backup-simplify]: Simplify (- 0) into 0 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 0 into 0 7.482 * [backup-simplify]: Simplify 0 into 0 7.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.484 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 7.485 * [backup-simplify]: Simplify (+ 0 0) into 0 7.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0 7.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)))) into 0 7.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.490 * [backup-simplify]: Simplify (+ 0 0) into 0 7.491 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.491 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 7.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 7.492 * [backup-simplify]: Simplify (- 0) into 0 7.492 * [backup-simplify]: Simplify (+ 0 0) into 0 7.492 * [taylor]: Taking taylor expansion of 0 in x 7.492 * [backup-simplify]: Simplify 0 into 0 7.492 * [backup-simplify]: Simplify 0 into 0 7.492 * [backup-simplify]: Simplify 1 into 1 7.493 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ (* (/ 1 (- x)) (/ 1 (- x))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))))) into (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 7.493 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (y x) around 0 7.493 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 7.493 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 7.493 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 7.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.493 * [taylor]: Taking taylor expansion of y in x 7.493 * [backup-simplify]: Simplify y into y 7.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.493 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.493 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.493 * [taylor]: Taking taylor expansion of y in x 7.493 * [backup-simplify]: Simplify y into y 7.494 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.494 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.494 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.494 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.494 * [taylor]: Taking taylor expansion of x in x 7.494 * [backup-simplify]: Simplify 0 into 0 7.494 * [backup-simplify]: Simplify 1 into 1 7.494 * [backup-simplify]: Simplify (* 1 1) into 1 7.495 * [backup-simplify]: Simplify (/ 1 1) into 1 7.495 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.495 * [backup-simplify]: Simplify (+ 0 1) into 1 7.496 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 7.496 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.496 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 7.496 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 7.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.496 * [taylor]: Taking taylor expansion of x in x 7.496 * [backup-simplify]: Simplify 0 into 0 7.496 * [backup-simplify]: Simplify 1 into 1 7.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.496 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.496 * [taylor]: Taking taylor expansion of y in x 7.496 * [backup-simplify]: Simplify y into y 7.496 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.496 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.496 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.496 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.496 * [taylor]: Taking taylor expansion of x in x 7.496 * [backup-simplify]: Simplify 0 into 0 7.497 * [backup-simplify]: Simplify 1 into 1 7.497 * [backup-simplify]: Simplify (* 1 1) into 1 7.497 * [backup-simplify]: Simplify (/ 1 1) into 1 7.498 * [backup-simplify]: Simplify (* 1 1) into 1 7.498 * [backup-simplify]: Simplify (+ 0 1) into 1 7.499 * [backup-simplify]: Simplify (* 1 1) into 1 7.499 * [backup-simplify]: Simplify (/ 1 1) into 1 7.499 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 7.499 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.499 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.499 * [taylor]: Taking taylor expansion of y in y 7.499 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify 1 into 1 7.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.499 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.499 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.499 * [taylor]: Taking taylor expansion of y in y 7.499 * [backup-simplify]: Simplify 0 into 0 7.499 * [backup-simplify]: Simplify 1 into 1 7.500 * [backup-simplify]: Simplify (* 1 1) into 1 7.500 * [backup-simplify]: Simplify (/ 1 1) into 1 7.500 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.500 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.500 * [taylor]: Taking taylor expansion of x in y 7.500 * [backup-simplify]: Simplify x into x 7.500 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.500 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.501 * [backup-simplify]: Simplify (* 1 1) into 1 7.501 * [backup-simplify]: Simplify (+ 1 0) into 1 7.502 * [backup-simplify]: Simplify (* 1 1) into 1 7.502 * [backup-simplify]: Simplify (/ 1 1) into 1 7.502 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.502 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.502 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.502 * [taylor]: Taking taylor expansion of x in y 7.502 * [backup-simplify]: Simplify x into x 7.502 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.502 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.502 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.502 * [taylor]: Taking taylor expansion of y in y 7.503 * [backup-simplify]: Simplify 0 into 0 7.503 * [backup-simplify]: Simplify 1 into 1 7.503 * [backup-simplify]: Simplify (* 1 1) into 1 7.503 * [backup-simplify]: Simplify (/ 1 1) into 1 7.503 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.503 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.503 * [taylor]: Taking taylor expansion of x in y 7.503 * [backup-simplify]: Simplify x into x 7.504 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.504 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.504 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.504 * [backup-simplify]: Simplify (+ 1 0) into 1 7.504 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.504 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.504 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 7.505 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.505 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.505 * [taylor]: Taking taylor expansion of y in y 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.505 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.505 * [taylor]: Taking taylor expansion of y in y 7.505 * [backup-simplify]: Simplify 0 into 0 7.505 * [backup-simplify]: Simplify 1 into 1 7.505 * [backup-simplify]: Simplify (* 1 1) into 1 7.506 * [backup-simplify]: Simplify (/ 1 1) into 1 7.506 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.506 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.506 * [taylor]: Taking taylor expansion of x in y 7.506 * [backup-simplify]: Simplify x into x 7.506 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.506 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.506 * [backup-simplify]: Simplify (* 1 1) into 1 7.507 * [backup-simplify]: Simplify (+ 1 0) into 1 7.507 * [backup-simplify]: Simplify (* 1 1) into 1 7.507 * [backup-simplify]: Simplify (/ 1 1) into 1 7.508 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 7.508 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 7.508 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.508 * [taylor]: Taking taylor expansion of x in y 7.508 * [backup-simplify]: Simplify x into x 7.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.508 * [taylor]: Taking taylor expansion of y in y 7.508 * [backup-simplify]: Simplify 0 into 0 7.508 * [backup-simplify]: Simplify 1 into 1 7.508 * [backup-simplify]: Simplify (* 1 1) into 1 7.509 * [backup-simplify]: Simplify (/ 1 1) into 1 7.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.509 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.509 * [taylor]: Taking taylor expansion of x in y 7.509 * [backup-simplify]: Simplify x into x 7.509 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.509 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.509 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.510 * [backup-simplify]: Simplify (+ 1 0) into 1 7.510 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 7.510 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.510 * [backup-simplify]: Simplify (+ 1 0) into 1 7.510 * [taylor]: Taking taylor expansion of 1 in x 7.511 * [backup-simplify]: Simplify 1 into 1 7.511 * [backup-simplify]: Simplify 1 into 1 7.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.512 * [backup-simplify]: Simplify (+ 0 0) into 0 7.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.515 * [backup-simplify]: Simplify (+ 0 0) into 0 7.515 * [taylor]: Taking taylor expansion of 0 in x 7.515 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify 0 into 0 7.515 * [backup-simplify]: Simplify 0 into 0 7.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.517 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.517 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 7.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.519 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 7.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 7.520 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 7.520 * [backup-simplify]: Simplify (+ (- (/ 1 (pow x 2))) (- (/ 1 (pow x 2)))) into (- (* 2 (/ 1 (pow x 2)))) 7.520 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x 7.520 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 7.520 * [taylor]: Taking taylor expansion of 2 in x 7.520 * [backup-simplify]: Simplify 2 into 2 7.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.521 * [taylor]: Taking taylor expansion of x in x 7.521 * [backup-simplify]: Simplify 0 into 0 7.521 * [backup-simplify]: Simplify 1 into 1 7.521 * [backup-simplify]: Simplify (* 1 1) into 1 7.521 * [backup-simplify]: Simplify (/ 1 1) into 1 7.523 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.524 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.526 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 7.527 * [backup-simplify]: Simplify (- 0) into 0 7.527 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify 0 into 0 7.527 * [backup-simplify]: Simplify 0 into 0 7.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.529 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.529 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 7.530 * [backup-simplify]: Simplify (+ 0 0) into 0 7.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.532 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0 7.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)))) into 0 7.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.535 * [backup-simplify]: Simplify (+ 0 0) into 0 7.535 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 7.536 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 7.536 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 7.537 * [backup-simplify]: Simplify (- 0) into 0 7.537 * [backup-simplify]: Simplify (+ 0 0) into 0 7.537 * [taylor]: Taking taylor expansion of 0 in x 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 1 into 1 7.537 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 7.537 * [backup-simplify]: Simplify (+ (* x x) (* y y)) into (+ (pow y 2) (pow x 2)) 7.537 * [approximate]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in (x y) around 0 7.537 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 7.537 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.537 * [taylor]: Taking taylor expansion of y in y 7.537 * [backup-simplify]: Simplify 0 into 0 7.537 * [backup-simplify]: Simplify 1 into 1 7.537 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.538 * [taylor]: Taking taylor expansion of x in y 7.538 * [backup-simplify]: Simplify x into x 7.538 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 7.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.538 * [taylor]: Taking taylor expansion of y in x 7.538 * [backup-simplify]: Simplify y into y 7.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.538 * [taylor]: Taking taylor expansion of x in x 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 1 into 1 7.538 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 7.538 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.538 * [taylor]: Taking taylor expansion of y in x 7.538 * [backup-simplify]: Simplify y into y 7.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.538 * [taylor]: Taking taylor expansion of x in x 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 1 into 1 7.538 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.538 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 7.538 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.538 * [taylor]: Taking taylor expansion of y in y 7.538 * [backup-simplify]: Simplify 0 into 0 7.538 * [backup-simplify]: Simplify 1 into 1 7.538 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.539 * [backup-simplify]: Simplify (+ 0 0) into 0 7.539 * [taylor]: Taking taylor expansion of 0 in y 7.539 * [backup-simplify]: Simplify 0 into 0 7.539 * [backup-simplify]: Simplify 0 into 0 7.540 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.540 * [backup-simplify]: Simplify (* 1 1) into 1 7.540 * [backup-simplify]: Simplify (+ 0 1) into 1 7.540 * [taylor]: Taking taylor expansion of 1 in y 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify 1 into 1 7.540 * [backup-simplify]: Simplify 0 into 0 7.541 * [backup-simplify]: Simplify (* 1 1) into 1 7.541 * [backup-simplify]: Simplify 1 into 1 7.542 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 7.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.543 * [backup-simplify]: Simplify (+ 0 0) into 0 7.543 * [taylor]: Taking taylor expansion of 0 in y 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify 0 into 0 7.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.544 * [backup-simplify]: Simplify 0 into 0 7.545 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 7.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.546 * [backup-simplify]: Simplify (+ 0 0) into 0 7.546 * [taylor]: Taking taylor expansion of 0 in y 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify 0 into 0 7.546 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify (+ (* 1 (pow (* y 1) 2)) (* 1 (pow (* 1 x) 2))) into (+ (pow y 2) (pow x 2)) 7.547 * [backup-simplify]: Simplify (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 7.547 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 7.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.547 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.547 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.547 * [taylor]: Taking taylor expansion of y in y 7.547 * [backup-simplify]: Simplify 0 into 0 7.547 * [backup-simplify]: Simplify 1 into 1 7.548 * [backup-simplify]: Simplify (* 1 1) into 1 7.548 * [backup-simplify]: Simplify (/ 1 1) into 1 7.548 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.548 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.548 * [taylor]: Taking taylor expansion of x in y 7.548 * [backup-simplify]: Simplify x into x 7.548 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.548 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.548 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.548 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.548 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.548 * [taylor]: Taking taylor expansion of y in x 7.548 * [backup-simplify]: Simplify y into y 7.549 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.549 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.549 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.549 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.549 * [taylor]: Taking taylor expansion of x in x 7.549 * [backup-simplify]: Simplify 0 into 0 7.549 * [backup-simplify]: Simplify 1 into 1 7.549 * [backup-simplify]: Simplify (* 1 1) into 1 7.550 * [backup-simplify]: Simplify (/ 1 1) into 1 7.550 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.550 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.550 * [taylor]: Taking taylor expansion of y in x 7.550 * [backup-simplify]: Simplify y into y 7.550 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.550 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.550 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.550 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.550 * [taylor]: Taking taylor expansion of x in x 7.550 * [backup-simplify]: Simplify 0 into 0 7.550 * [backup-simplify]: Simplify 1 into 1 7.550 * [backup-simplify]: Simplify (* 1 1) into 1 7.551 * [backup-simplify]: Simplify (/ 1 1) into 1 7.551 * [backup-simplify]: Simplify (+ 0 1) into 1 7.551 * [taylor]: Taking taylor expansion of 1 in y 7.551 * [backup-simplify]: Simplify 1 into 1 7.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.553 * [backup-simplify]: Simplify (+ 0 0) into 0 7.553 * [taylor]: Taking taylor expansion of 0 in y 7.553 * [backup-simplify]: Simplify 0 into 0 7.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.555 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 7.555 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.555 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.555 * [taylor]: Taking taylor expansion of y in y 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify 1 into 1 7.556 * [backup-simplify]: Simplify (* 1 1) into 1 7.556 * [backup-simplify]: Simplify (/ 1 1) into 1 7.556 * [backup-simplify]: Simplify 1 into 1 7.556 * [backup-simplify]: Simplify 1 into 1 7.556 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.559 * [backup-simplify]: Simplify (+ 0 0) into 0 7.559 * [taylor]: Taking taylor expansion of 0 in y 7.559 * [backup-simplify]: Simplify 0 into 0 7.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.561 * [backup-simplify]: Simplify 0 into 0 7.561 * [backup-simplify]: Simplify 0 into 0 7.561 * [backup-simplify]: Simplify 0 into 0 7.561 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.562 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.564 * [backup-simplify]: Simplify (+ 0 0) into 0 7.564 * [taylor]: Taking taylor expansion of 0 in y 7.564 * [backup-simplify]: Simplify 0 into 0 7.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.566 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify 0 into 0 7.566 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 x))) 2)) (* 1 (pow (* (/ 1 (/ 1 y)) 1) 2))) into (+ (pow y 2) (pow x 2)) 7.567 * [backup-simplify]: Simplify (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) into (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) 7.567 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in (x y) around 0 7.567 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 7.567 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.567 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.567 * [taylor]: Taking taylor expansion of y in y 7.567 * [backup-simplify]: Simplify 0 into 0 7.567 * [backup-simplify]: Simplify 1 into 1 7.568 * [backup-simplify]: Simplify (* 1 1) into 1 7.568 * [backup-simplify]: Simplify (/ 1 1) into 1 7.568 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 7.568 * [taylor]: Taking taylor expansion of (pow x 2) in y 7.568 * [taylor]: Taking taylor expansion of x in y 7.568 * [backup-simplify]: Simplify x into x 7.568 * [backup-simplify]: Simplify (* x x) into (pow x 2) 7.568 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 7.569 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.569 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.569 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.569 * [taylor]: Taking taylor expansion of y in x 7.569 * [backup-simplify]: Simplify y into y 7.569 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.569 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.569 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.569 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.569 * [taylor]: Taking taylor expansion of x in x 7.569 * [backup-simplify]: Simplify 0 into 0 7.569 * [backup-simplify]: Simplify 1 into 1 7.569 * [backup-simplify]: Simplify (* 1 1) into 1 7.570 * [backup-simplify]: Simplify (/ 1 1) into 1 7.570 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 7.570 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 7.570 * [taylor]: Taking taylor expansion of (pow y 2) in x 7.570 * [taylor]: Taking taylor expansion of y in x 7.570 * [backup-simplify]: Simplify y into y 7.570 * [backup-simplify]: Simplify (* y y) into (pow y 2) 7.570 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 7.570 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 7.570 * [taylor]: Taking taylor expansion of (pow x 2) in x 7.570 * [taylor]: Taking taylor expansion of x in x 7.570 * [backup-simplify]: Simplify 0 into 0 7.570 * [backup-simplify]: Simplify 1 into 1 7.571 * [backup-simplify]: Simplify (* 1 1) into 1 7.571 * [backup-simplify]: Simplify (/ 1 1) into 1 7.571 * [backup-simplify]: Simplify (+ 0 1) into 1 7.572 * [taylor]: Taking taylor expansion of 1 in y 7.572 * [backup-simplify]: Simplify 1 into 1 7.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.573 * [backup-simplify]: Simplify (+ 0 0) into 0 7.573 * [taylor]: Taking taylor expansion of 0 in y 7.573 * [backup-simplify]: Simplify 0 into 0 7.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.576 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 7.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 7.576 * [taylor]: Taking taylor expansion of (pow y 2) in y 7.576 * [taylor]: Taking taylor expansion of y in y 7.576 * [backup-simplify]: Simplify 0 into 0 7.576 * [backup-simplify]: Simplify 1 into 1 7.576 * [backup-simplify]: Simplify (* 1 1) into 1 7.577 * [backup-simplify]: Simplify (/ 1 1) into 1 7.577 * [backup-simplify]: Simplify 1 into 1 7.577 * [backup-simplify]: Simplify 1 into 1 7.577 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 7.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 7.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 7.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.580 * [backup-simplify]: Simplify (+ 0 0) into 0 7.580 * [taylor]: Taking taylor expansion of 0 in y 7.580 * [backup-simplify]: Simplify 0 into 0 7.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 7.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.581 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify 0 into 0 7.581 * [backup-simplify]: Simplify 0 into 0 7.582 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 7.582 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 7.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 7.585 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.585 * [backup-simplify]: Simplify (+ 0 0) into 0 7.585 * [taylor]: Taking taylor expansion of 0 in y 7.585 * [backup-simplify]: Simplify 0 into 0 7.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 7.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.587 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify 0 into 0 7.588 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- x)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y))) 1) 2))) into (+ (pow y 2) (pow x 2)) 7.588 * * * [progress]: simplifying candidates 7.588 * * * * [progress]: [ 1 / 1270 ] simplifiying candidate # 7.588 * * * * [progress]: [ 2 / 1270 ] simplifiying candidate # 7.588 * * * * [progress]: [ 3 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 4 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 5 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 6 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 7 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 8 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 9 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 10 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 11 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 12 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 13 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 14 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 15 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 16 / 1270 ] simplifiying candidate # 7.589 * * * * [progress]: [ 17 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 18 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 19 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 20 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 21 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 22 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 23 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 24 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 25 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 26 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 27 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 28 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 29 / 1270 ] simplifiying candidate # 7.590 * * * * [progress]: [ 30 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 31 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 32 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 33 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 34 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 35 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 36 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 37 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 38 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 39 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 40 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 41 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 42 / 1270 ] simplifiying candidate # 7.591 * * * * [progress]: [ 43 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 44 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 45 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 46 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 47 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 48 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 49 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 50 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 51 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 52 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 53 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 54 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 55 / 1270 ] simplifiying candidate # 7.592 * * * * [progress]: [ 56 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: [ 57 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: [ 58 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: [ 59 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: [ 60 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: [ 61 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: [ 62 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: [ 63 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: [ 64 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: [ 65 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: [ 66 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: [ 67 / 1270 ] simplifiying candidate # 7.593 * * * * [progress]: 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y) (+ (* x x) (* y y)))) (* (* (/ (* y y) (+ (* x x) (* y y))) (/ (* y y) (+ (* x x) (* y y)))) (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (sqrt (/ (* y y) (+ (* x x) (* y y)))) (- (* y y)) (- (+ (* x x) (* y y))) (/ y (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ y (cbrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y (sqrt (+ (* x x) (* y y)))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ y (* 1 1)) (/ y (+ (* x x) (* y y))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ y 1) (/ y (+ (* x x) (* y y))) (/ (* (cbrt (* y y)) (cbrt (* y y))) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y))))) (/ (cbrt (* y y)) (cbrt (+ (* x x) (* y y)))) (/ (* (cbrt (* y y)) (cbrt (* y y))) (sqrt (+ (* x x) (* y y)))) (/ (cbrt (* y y)) (sqrt (+ (* x x) (* y y)))) (/ (* (cbrt (* y y)) (cbrt (* y y))) 1) (/ (cbrt (* y y)) (+ (* x x) (* y y))) (/ (* (cbrt (* y y)) (cbrt (* y y))) 1) (/ (cbrt (* 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y))) (+ (pow (* x x) 3) (pow (* y y) 3)) (+ (* (* x x) (* x x)) (- (* (* y y) (* y y)) (* (* x x) (* y y)))) (- (* (* x x) (* x x)) (* (* y y) (* y y))) (- (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (+ (* x x) (* y y)) (real->posit16 (+ (* x x) (* y y))) 0 0 0 0 0 0 -1 1 1 (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) (+ (pow y 2) (pow x 2)) 7.814 * * [simplify]: iteration 0: 1357 enodes 8.548 * * [simplify]: iteration 1: 4949 enodes 10.143 * * [simplify]: iteration complete: 5000 enodes 10.145 * * [simplify]: Extracting #0: cost 534 inf + 0 10.153 * * [simplify]: Extracting #1: cost 1663 inf + 87 10.164 * * [simplify]: Extracting #2: cost 2283 inf + 5529 10.197 * * [simplify]: Extracting #3: cost 1597 inf + 153741 10.292 * * [simplify]: Extracting #4: cost 339 inf + 522927 10.469 * * [simplify]: Extracting #5: cost 14 inf + 640294 10.606 * * [simplify]: Extracting #6: cost 0 inf + 645551 10.734 * [simplify]: Simplified to: (log 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candidates to table 13.311 * * [progress]: iteration 3 / 4 13.311 * * * [progress]: picking best candidate 13.316 * * * * [pick]: Picked # 13.316 * * * [progress]: localizing error 13.339 * * * [progress]: generating rewritten candidates 13.339 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1) 13.445 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 2) 13.681 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 13.938 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1) 18.485 * * * [progress]: generating series expansions 18.485 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1) 18.485 * [backup-simplify]: Simplify (/ (* y y) (+ (* x x) (* y y))) into (/ (pow y 2) (+ (pow y 2) (pow x 2))) 18.485 * [approximate]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in (y x) around 0 18.485 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 18.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.485 * [taylor]: Taking taylor expansion of y in x 18.485 * [backup-simplify]: Simplify y into y 18.485 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 18.485 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.485 * [taylor]: Taking taylor expansion of y in x 18.485 * [backup-simplify]: Simplify y into y 18.485 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.485 * [taylor]: Taking taylor expansion of x in x 18.485 * [backup-simplify]: Simplify 0 into 0 18.485 * [backup-simplify]: Simplify 1 into 1 18.485 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.485 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.486 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 18.486 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 18.486 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 18.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.486 * [taylor]: Taking taylor expansion of y in y 18.486 * [backup-simplify]: Simplify 0 into 0 18.486 * [backup-simplify]: Simplify 1 into 1 18.486 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 18.486 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.486 * [taylor]: Taking taylor expansion of y in y 18.486 * [backup-simplify]: Simplify 0 into 0 18.486 * [backup-simplify]: Simplify 1 into 1 18.486 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.486 * [taylor]: Taking taylor expansion of x in y 18.486 * [backup-simplify]: Simplify x into x 18.487 * [backup-simplify]: Simplify (* 1 1) into 1 18.487 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.487 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 18.487 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.487 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 18.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.487 * [taylor]: Taking taylor expansion of y in y 18.487 * [backup-simplify]: Simplify 0 into 0 18.487 * [backup-simplify]: Simplify 1 into 1 18.487 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 18.487 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.487 * [taylor]: Taking taylor expansion of y in y 18.487 * [backup-simplify]: Simplify 0 into 0 18.487 * [backup-simplify]: Simplify 1 into 1 18.487 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.487 * [taylor]: Taking taylor expansion of x in y 18.487 * [backup-simplify]: Simplify x into x 18.487 * [backup-simplify]: Simplify (* 1 1) into 1 18.487 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.488 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 18.488 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.488 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.488 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.488 * [taylor]: Taking taylor expansion of x in x 18.488 * [backup-simplify]: Simplify 0 into 0 18.488 * [backup-simplify]: Simplify 1 into 1 18.488 * [backup-simplify]: Simplify (* 1 1) into 1 18.488 * [backup-simplify]: Simplify (/ 1 1) into 1 18.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.491 * [backup-simplify]: Simplify 0 into 0 18.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.491 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 18.492 * [backup-simplify]: Simplify (+ 0 0) into 0 18.492 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 18.492 * [taylor]: Taking taylor expansion of 0 in x 18.492 * [backup-simplify]: Simplify 0 into 0 18.492 * [backup-simplify]: Simplify 0 into 0 18.493 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.493 * [backup-simplify]: Simplify 0 into 0 18.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.494 * [backup-simplify]: Simplify (* 1 1) into 1 18.494 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 18.495 * [backup-simplify]: Simplify (+ 1 0) into 1 18.495 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 4))) 18.495 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 4))) in x 18.495 * [taylor]: Taking taylor expansion of (/ 1 (pow x 4)) in x 18.495 * [taylor]: Taking taylor expansion of (pow x 4) in x 18.495 * [taylor]: Taking taylor expansion of x in x 18.495 * [backup-simplify]: Simplify 0 into 0 18.495 * [backup-simplify]: Simplify 1 into 1 18.495 * [backup-simplify]: Simplify (* 1 1) into 1 18.496 * [backup-simplify]: Simplify (* 1 1) into 1 18.496 * [backup-simplify]: Simplify (/ 1 1) into 1 18.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.503 * [backup-simplify]: Simplify (- 0) into 0 18.503 * [backup-simplify]: Simplify 0 into 0 18.503 * [backup-simplify]: Simplify 0 into 0 18.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.504 * [backup-simplify]: Simplify 0 into 0 18.504 * [backup-simplify]: Simplify 0 into 0 18.505 * [backup-simplify]: Simplify (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 18.505 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 18.505 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 18.505 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.505 * [taylor]: Taking taylor expansion of y in x 18.505 * [backup-simplify]: Simplify y into y 18.505 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.505 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.505 * [taylor]: Taking taylor expansion of y in x 18.505 * [backup-simplify]: Simplify y into y 18.505 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.505 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.505 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.505 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.505 * [taylor]: Taking taylor expansion of x in x 18.505 * [backup-simplify]: Simplify 0 into 0 18.505 * [backup-simplify]: Simplify 1 into 1 18.505 * [backup-simplify]: Simplify (* 1 1) into 1 18.506 * [backup-simplify]: Simplify (/ 1 1) into 1 18.506 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.506 * [backup-simplify]: Simplify (+ 0 1) into 1 18.506 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 18.506 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.506 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.506 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.506 * [taylor]: Taking taylor expansion of y in y 18.506 * [backup-simplify]: Simplify 0 into 0 18.506 * [backup-simplify]: Simplify 1 into 1 18.506 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.506 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.506 * [taylor]: Taking taylor expansion of y in y 18.506 * [backup-simplify]: Simplify 0 into 0 18.506 * [backup-simplify]: Simplify 1 into 1 18.507 * [backup-simplify]: Simplify (* 1 1) into 1 18.507 * [backup-simplify]: Simplify (/ 1 1) into 1 18.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.507 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.507 * [taylor]: Taking taylor expansion of x in y 18.507 * [backup-simplify]: Simplify x into x 18.507 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.507 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.507 * [backup-simplify]: Simplify (* 1 1) into 1 18.508 * [backup-simplify]: Simplify (+ 1 0) into 1 18.508 * [backup-simplify]: Simplify (* 1 1) into 1 18.508 * [backup-simplify]: Simplify (/ 1 1) into 1 18.508 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.508 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.508 * [taylor]: Taking taylor expansion of y in y 18.508 * [backup-simplify]: Simplify 0 into 0 18.508 * [backup-simplify]: Simplify 1 into 1 18.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.508 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.508 * [taylor]: Taking taylor expansion of y in y 18.508 * [backup-simplify]: Simplify 0 into 0 18.508 * [backup-simplify]: Simplify 1 into 1 18.509 * [backup-simplify]: Simplify (* 1 1) into 1 18.509 * [backup-simplify]: Simplify (/ 1 1) into 1 18.509 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.509 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.509 * [taylor]: Taking taylor expansion of x in y 18.509 * [backup-simplify]: Simplify x into x 18.509 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.509 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.509 * [backup-simplify]: Simplify (* 1 1) into 1 18.510 * [backup-simplify]: Simplify (+ 1 0) into 1 18.510 * [backup-simplify]: Simplify (* 1 1) into 1 18.510 * [backup-simplify]: Simplify (/ 1 1) into 1 18.510 * [taylor]: Taking taylor expansion of 1 in x 18.510 * [backup-simplify]: Simplify 1 into 1 18.510 * [backup-simplify]: Simplify 0 into 0 18.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.511 * [backup-simplify]: Simplify (+ 0 0) into 0 18.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.513 * [taylor]: Taking taylor expansion of 0 in x 18.513 * [backup-simplify]: Simplify 0 into 0 18.513 * [backup-simplify]: Simplify 0 into 0 18.513 * [backup-simplify]: Simplify 0 into 0 18.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.514 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 18.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.515 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 18.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 18.516 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 18.516 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.516 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.516 * [taylor]: Taking taylor expansion of x in x 18.516 * [backup-simplify]: Simplify 0 into 0 18.516 * [backup-simplify]: Simplify 1 into 1 18.516 * [backup-simplify]: Simplify (* 1 1) into 1 18.516 * [backup-simplify]: Simplify (/ 1 1) into 1 18.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.521 * [backup-simplify]: Simplify (- 0) into 0 18.521 * [backup-simplify]: Simplify 0 into 0 18.521 * [backup-simplify]: Simplify 0 into 0 18.521 * [backup-simplify]: Simplify 0 into 0 18.521 * [backup-simplify]: Simplify 0 into 0 18.521 * [backup-simplify]: Simplify (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) into (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 18.521 * [approximate]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (y x) around 0 18.521 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 18.521 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.521 * [taylor]: Taking taylor expansion of y in x 18.521 * [backup-simplify]: Simplify y into y 18.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.521 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.521 * [taylor]: Taking taylor expansion of y in x 18.521 * [backup-simplify]: Simplify y into y 18.521 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.522 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.522 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.522 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.522 * [taylor]: Taking taylor expansion of x in x 18.522 * [backup-simplify]: Simplify 0 into 0 18.522 * [backup-simplify]: Simplify 1 into 1 18.522 * [backup-simplify]: Simplify (* 1 1) into 1 18.522 * [backup-simplify]: Simplify (/ 1 1) into 1 18.522 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.522 * [backup-simplify]: Simplify (+ 0 1) into 1 18.523 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 18.523 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.523 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.523 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.523 * [taylor]: Taking taylor expansion of y in y 18.523 * [backup-simplify]: Simplify 0 into 0 18.523 * [backup-simplify]: Simplify 1 into 1 18.523 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.523 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.523 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.523 * [taylor]: Taking taylor expansion of y in y 18.523 * [backup-simplify]: Simplify 0 into 0 18.523 * [backup-simplify]: Simplify 1 into 1 18.524 * [backup-simplify]: Simplify (* 1 1) into 1 18.524 * [backup-simplify]: Simplify (/ 1 1) into 1 18.524 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.524 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.524 * [taylor]: Taking taylor expansion of x in y 18.524 * [backup-simplify]: Simplify x into x 18.524 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.524 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.525 * [backup-simplify]: Simplify (* 1 1) into 1 18.525 * [backup-simplify]: Simplify (+ 1 0) into 1 18.525 * [backup-simplify]: Simplify (* 1 1) into 1 18.526 * [backup-simplify]: Simplify (/ 1 1) into 1 18.526 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.526 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.526 * [taylor]: Taking taylor expansion of y in y 18.526 * [backup-simplify]: Simplify 0 into 0 18.526 * [backup-simplify]: Simplify 1 into 1 18.526 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.526 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.526 * [taylor]: Taking taylor expansion of y in y 18.526 * [backup-simplify]: Simplify 0 into 0 18.526 * [backup-simplify]: Simplify 1 into 1 18.527 * [backup-simplify]: Simplify (* 1 1) into 1 18.527 * [backup-simplify]: Simplify (/ 1 1) into 1 18.527 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.527 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.527 * [taylor]: Taking taylor expansion of x in y 18.527 * [backup-simplify]: Simplify x into x 18.527 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.527 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.528 * [backup-simplify]: Simplify (* 1 1) into 1 18.528 * [backup-simplify]: Simplify (+ 1 0) into 1 18.529 * [backup-simplify]: Simplify (* 1 1) into 1 18.529 * [backup-simplify]: Simplify (/ 1 1) into 1 18.529 * [taylor]: Taking taylor expansion of 1 in x 18.529 * [backup-simplify]: Simplify 1 into 1 18.529 * [backup-simplify]: Simplify 0 into 0 18.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.531 * [backup-simplify]: Simplify (+ 0 0) into 0 18.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.533 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.533 * [taylor]: Taking taylor expansion of 0 in x 18.533 * [backup-simplify]: Simplify 0 into 0 18.533 * [backup-simplify]: Simplify 0 into 0 18.534 * [backup-simplify]: Simplify 0 into 0 18.535 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.536 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 18.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.538 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 18.538 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 18.538 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x 2))) in x 18.538 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.538 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.539 * [taylor]: Taking taylor expansion of x in x 18.539 * [backup-simplify]: Simplify 0 into 0 18.539 * [backup-simplify]: Simplify 1 into 1 18.539 * [backup-simplify]: Simplify (* 1 1) into 1 18.539 * [backup-simplify]: Simplify (/ 1 1) into 1 18.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.555 * [backup-simplify]: Simplify (- 0) into 0 18.555 * [backup-simplify]: Simplify 0 into 0 18.556 * [backup-simplify]: Simplify 0 into 0 18.556 * [backup-simplify]: Simplify 0 into 0 18.556 * [backup-simplify]: Simplify 0 into 0 18.556 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 2) 18.556 * [backup-simplify]: Simplify (/ (+ (* x x) (* y y)) (* x x)) into (/ (+ (pow y 2) (pow x 2)) (pow x 2)) 18.556 * [approximate]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (pow x 2)) in (x y) around 0 18.556 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (pow x 2)) in y 18.556 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 18.556 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.556 * [taylor]: Taking taylor expansion of y in y 18.556 * [backup-simplify]: Simplify 0 into 0 18.556 * [backup-simplify]: Simplify 1 into 1 18.556 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.556 * [taylor]: Taking taylor expansion of x in y 18.556 * [backup-simplify]: Simplify x into x 18.556 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.556 * [taylor]: Taking taylor expansion of x in y 18.556 * [backup-simplify]: Simplify x into x 18.556 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.557 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 18.557 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.557 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 18.557 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (pow x 2)) in x 18.557 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 18.557 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.557 * [taylor]: Taking taylor expansion of y in x 18.557 * [backup-simplify]: Simplify y into y 18.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.557 * [taylor]: Taking taylor expansion of x in x 18.557 * [backup-simplify]: Simplify 0 into 0 18.557 * [backup-simplify]: Simplify 1 into 1 18.557 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.557 * [taylor]: Taking taylor expansion of x in x 18.557 * [backup-simplify]: Simplify 0 into 0 18.557 * [backup-simplify]: Simplify 1 into 1 18.557 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.557 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 18.558 * [backup-simplify]: Simplify (* 1 1) into 1 18.558 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 18.558 * [taylor]: Taking taylor expansion of (/ (+ (pow y 2) (pow x 2)) (pow x 2)) in x 18.558 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 18.558 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.558 * [taylor]: Taking taylor expansion of y in x 18.558 * [backup-simplify]: Simplify y into y 18.558 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.558 * [taylor]: Taking taylor expansion of x in x 18.559 * [backup-simplify]: Simplify 0 into 0 18.559 * [backup-simplify]: Simplify 1 into 1 18.559 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.559 * [taylor]: Taking taylor expansion of x in x 18.559 * [backup-simplify]: Simplify 0 into 0 18.559 * [backup-simplify]: Simplify 1 into 1 18.559 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.559 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 18.559 * [backup-simplify]: Simplify (* 1 1) into 1 18.560 * [backup-simplify]: Simplify (/ (pow y 2) 1) into (pow y 2) 18.560 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.560 * [taylor]: Taking taylor expansion of y in y 18.560 * [backup-simplify]: Simplify 0 into 0 18.560 * [backup-simplify]: Simplify 1 into 1 18.560 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 18.560 * [backup-simplify]: Simplify (+ 0 0) into 0 18.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.562 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)))) into 0 18.562 * [taylor]: Taking taylor expansion of 0 in y 18.562 * [backup-simplify]: Simplify 0 into 0 18.562 * [backup-simplify]: Simplify 0 into 0 18.563 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 18.563 * [backup-simplify]: Simplify (* 1 1) into 1 18.563 * [backup-simplify]: Simplify (+ 0 1) into 1 18.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.566 * [backup-simplify]: Simplify (- (/ 1 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)))) into 1 18.566 * [taylor]: Taking taylor expansion of 1 in y 18.566 * [backup-simplify]: Simplify 1 into 1 18.566 * [backup-simplify]: Simplify 1 into 1 18.566 * [backup-simplify]: Simplify 0 into 0 18.567 * [backup-simplify]: Simplify (* 1 1) into 1 18.567 * [backup-simplify]: Simplify 1 into 1 18.567 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (* 0 y)))) into 0 18.568 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.569 * [backup-simplify]: Simplify (+ 0 0) into 0 18.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.572 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 0 1)))) into 0 18.572 * [taylor]: Taking taylor expansion of 0 in y 18.572 * [backup-simplify]: Simplify 0 into 0 18.572 * [backup-simplify]: Simplify 0 into 0 18.572 * [backup-simplify]: Simplify 0 into 0 18.572 * [backup-simplify]: Simplify 0 into 0 18.573 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.573 * [backup-simplify]: Simplify 0 into 0 18.574 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y))))) into 0 18.575 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.575 * [backup-simplify]: Simplify (+ 0 0) into 0 18.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.579 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow y 2) (/ 0 1)) (* 0 (/ 0 1)) (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.579 * [taylor]: Taking taylor expansion of 0 in y 18.579 * [backup-simplify]: Simplify 0 into 0 18.579 * [backup-simplify]: Simplify 0 into 0 18.579 * [backup-simplify]: Simplify 0 into 0 18.580 * [backup-simplify]: Simplify (+ (* 1 (pow (* y (/ 1 x)) 2)) 1) into (+ (/ (pow y 2) (pow x 2)) 1) 18.580 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x))) into (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 18.580 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 18.580 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.580 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.580 * [taylor]: Taking taylor expansion of x in y 18.580 * [backup-simplify]: Simplify x into x 18.580 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.580 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.580 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.580 * [taylor]: Taking taylor expansion of y in y 18.580 * [backup-simplify]: Simplify 0 into 0 18.580 * [backup-simplify]: Simplify 1 into 1 18.581 * [backup-simplify]: Simplify (* 1 1) into 1 18.582 * [backup-simplify]: Simplify (/ 1 1) into 1 18.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.582 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.582 * [taylor]: Taking taylor expansion of x in y 18.582 * [backup-simplify]: Simplify x into x 18.582 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.582 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.582 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.582 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.582 * [taylor]: Taking taylor expansion of x in x 18.582 * [backup-simplify]: Simplify 0 into 0 18.582 * [backup-simplify]: Simplify 1 into 1 18.582 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.582 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.582 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.582 * [taylor]: Taking taylor expansion of y in x 18.582 * [backup-simplify]: Simplify y into y 18.582 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.582 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.582 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.583 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.583 * [taylor]: Taking taylor expansion of x in x 18.583 * [backup-simplify]: Simplify 0 into 0 18.583 * [backup-simplify]: Simplify 1 into 1 18.583 * [backup-simplify]: Simplify (* 1 1) into 1 18.584 * [backup-simplify]: Simplify (/ 1 1) into 1 18.584 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.584 * [taylor]: Taking taylor expansion of x in x 18.584 * [backup-simplify]: Simplify 0 into 0 18.584 * [backup-simplify]: Simplify 1 into 1 18.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.584 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.584 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.584 * [taylor]: Taking taylor expansion of y in x 18.584 * [backup-simplify]: Simplify y into y 18.584 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.584 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.584 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.584 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.584 * [taylor]: Taking taylor expansion of x in x 18.584 * [backup-simplify]: Simplify 0 into 0 18.584 * [backup-simplify]: Simplify 1 into 1 18.585 * [backup-simplify]: Simplify (* 1 1) into 1 18.585 * [backup-simplify]: Simplify (/ 1 1) into 1 18.586 * [backup-simplify]: Simplify (* 1 1) into 1 18.586 * [backup-simplify]: Simplify (+ 0 1) into 1 18.587 * [backup-simplify]: Simplify (* 1 1) into 1 18.587 * [taylor]: Taking taylor expansion of 1 in y 18.587 * [backup-simplify]: Simplify 1 into 1 18.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.589 * [backup-simplify]: Simplify (+ 0 0) into 0 18.590 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.591 * [taylor]: Taking taylor expansion of 0 in y 18.591 * [backup-simplify]: Simplify 0 into 0 18.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.594 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 18.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.596 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 18.596 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.596 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.596 * [taylor]: Taking taylor expansion of y in y 18.596 * [backup-simplify]: Simplify 0 into 0 18.596 * [backup-simplify]: Simplify 1 into 1 18.596 * [backup-simplify]: Simplify (* 1 1) into 1 18.597 * [backup-simplify]: Simplify (/ 1 1) into 1 18.597 * [backup-simplify]: Simplify 1 into 1 18.597 * [backup-simplify]: Simplify 1 into 1 18.597 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 18.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 18.598 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.599 * [backup-simplify]: Simplify (+ 0 0) into 0 18.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 18.601 * [taylor]: Taking taylor expansion of 0 in y 18.601 * [backup-simplify]: Simplify 0 into 0 18.601 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.602 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.602 * [backup-simplify]: Simplify 0 into 0 18.602 * [backup-simplify]: Simplify 0 into 0 18.602 * [backup-simplify]: Simplify 0 into 0 18.602 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 18.602 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 18.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.604 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.604 * [backup-simplify]: Simplify (+ 0 0) into 0 18.605 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into 0 18.606 * [taylor]: Taking taylor expansion of 0 in y 18.606 * [backup-simplify]: Simplify 0 into 0 18.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.607 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.607 * [backup-simplify]: Simplify 0 into 0 18.607 * [backup-simplify]: Simplify 0 into 0 18.607 * [backup-simplify]: Simplify 0 into 0 18.607 * [backup-simplify]: Simplify (+ 1 (* 1 (pow (* (/ 1 (/ 1 y)) (/ 1 x)) 2))) into (+ (/ (pow y 2) (pow x 2)) 1) 18.607 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))) into (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) 18.607 * [approximate]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in (x y) around 0 18.607 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.607 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.607 * [taylor]: Taking taylor expansion of x in y 18.607 * [backup-simplify]: Simplify x into x 18.607 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.608 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.608 * [taylor]: Taking taylor expansion of y in y 18.608 * [backup-simplify]: Simplify 0 into 0 18.608 * [backup-simplify]: Simplify 1 into 1 18.608 * [backup-simplify]: Simplify (* 1 1) into 1 18.608 * [backup-simplify]: Simplify (/ 1 1) into 1 18.608 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.608 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.608 * [taylor]: Taking taylor expansion of x in y 18.608 * [backup-simplify]: Simplify x into x 18.608 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.608 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.608 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.608 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.608 * [taylor]: Taking taylor expansion of x in x 18.608 * [backup-simplify]: Simplify 0 into 0 18.608 * [backup-simplify]: Simplify 1 into 1 18.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.608 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.609 * [taylor]: Taking taylor expansion of y in x 18.609 * [backup-simplify]: Simplify y into y 18.609 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.609 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.609 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.609 * [taylor]: Taking taylor expansion of x in x 18.609 * [backup-simplify]: Simplify 0 into 0 18.609 * [backup-simplify]: Simplify 1 into 1 18.609 * [backup-simplify]: Simplify (* 1 1) into 1 18.609 * [backup-simplify]: Simplify (/ 1 1) into 1 18.609 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.609 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.609 * [taylor]: Taking taylor expansion of x in x 18.609 * [backup-simplify]: Simplify 0 into 0 18.609 * [backup-simplify]: Simplify 1 into 1 18.609 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.609 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.609 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.609 * [taylor]: Taking taylor expansion of y in x 18.609 * [backup-simplify]: Simplify y into y 18.609 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.610 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.610 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.610 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.610 * [taylor]: Taking taylor expansion of x in x 18.610 * [backup-simplify]: Simplify 0 into 0 18.610 * [backup-simplify]: Simplify 1 into 1 18.610 * [backup-simplify]: Simplify (* 1 1) into 1 18.610 * [backup-simplify]: Simplify (/ 1 1) into 1 18.610 * [backup-simplify]: Simplify (* 1 1) into 1 18.611 * [backup-simplify]: Simplify (+ 0 1) into 1 18.611 * [backup-simplify]: Simplify (* 1 1) into 1 18.611 * [taylor]: Taking taylor expansion of 1 in y 18.611 * [backup-simplify]: Simplify 1 into 1 18.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.612 * [backup-simplify]: Simplify (+ 0 0) into 0 18.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.613 * [taylor]: Taking taylor expansion of 0 in y 18.613 * [backup-simplify]: Simplify 0 into 0 18.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.614 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 18.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.615 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 18.615 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.615 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.615 * [taylor]: Taking taylor expansion of y in y 18.615 * [backup-simplify]: Simplify 0 into 0 18.615 * [backup-simplify]: Simplify 1 into 1 18.616 * [backup-simplify]: Simplify (* 1 1) into 1 18.616 * [backup-simplify]: Simplify (/ 1 1) into 1 18.616 * [backup-simplify]: Simplify 1 into 1 18.616 * [backup-simplify]: Simplify 1 into 1 18.616 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 18.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 18.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.618 * [backup-simplify]: Simplify (+ 0 0) into 0 18.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1)))) into 0 18.619 * [taylor]: Taking taylor expansion of 0 in y 18.619 * [backup-simplify]: Simplify 0 into 0 18.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.620 * [backup-simplify]: Simplify 0 into 0 18.620 * [backup-simplify]: Simplify 0 into 0 18.620 * [backup-simplify]: Simplify 0 into 0 18.620 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 18.621 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into 0 18.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.622 * [backup-simplify]: Simplify (+ 0 0) into 0 18.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))))) into 0 18.624 * [taylor]: Taking taylor expansion of 0 in y 18.624 * [backup-simplify]: Simplify 0 into 0 18.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.625 * [backup-simplify]: Simplify 0 into 0 18.625 * [backup-simplify]: Simplify 0 into 0 18.625 * [backup-simplify]: Simplify 0 into 0 18.625 * [backup-simplify]: Simplify (+ 1 (* 1 (pow (* (/ 1 (/ 1 (- y))) (/ 1 (- x))) 2))) into (+ (/ (pow y 2) (pow x 2)) 1) 18.625 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 18.626 * [backup-simplify]: Simplify (/ 1 (/ (+ (* x x) (* y y)) (* x x))) into (/ (pow x 2) (+ (pow y 2) (pow x 2))) 18.626 * [approximate]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in (x y) around 0 18.626 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 18.626 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.626 * [taylor]: Taking taylor expansion of x in y 18.626 * [backup-simplify]: Simplify x into x 18.626 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 18.626 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.626 * [taylor]: Taking taylor expansion of y in y 18.626 * [backup-simplify]: Simplify 0 into 0 18.626 * [backup-simplify]: Simplify 1 into 1 18.626 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.626 * [taylor]: Taking taylor expansion of x in y 18.626 * [backup-simplify]: Simplify x into x 18.626 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.626 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.626 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 18.626 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 18.626 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 18.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.626 * [taylor]: Taking taylor expansion of x in x 18.626 * [backup-simplify]: Simplify 0 into 0 18.626 * [backup-simplify]: Simplify 1 into 1 18.626 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 18.626 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.626 * [taylor]: Taking taylor expansion of y in x 18.626 * [backup-simplify]: Simplify y into y 18.626 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.626 * [taylor]: Taking taylor expansion of x in x 18.626 * [backup-simplify]: Simplify 0 into 0 18.626 * [backup-simplify]: Simplify 1 into 1 18.627 * [backup-simplify]: Simplify (* 1 1) into 1 18.627 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.627 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 18.627 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.627 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 18.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.627 * [taylor]: Taking taylor expansion of x in x 18.627 * [backup-simplify]: Simplify 0 into 0 18.627 * [backup-simplify]: Simplify 1 into 1 18.627 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 18.627 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.627 * [taylor]: Taking taylor expansion of y in x 18.627 * [backup-simplify]: Simplify y into y 18.627 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.627 * [taylor]: Taking taylor expansion of x in x 18.627 * [backup-simplify]: Simplify 0 into 0 18.627 * [backup-simplify]: Simplify 1 into 1 18.627 * [backup-simplify]: Simplify (* 1 1) into 1 18.627 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.628 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 18.628 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.628 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.628 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.628 * [taylor]: Taking taylor expansion of y in y 18.628 * [backup-simplify]: Simplify 0 into 0 18.628 * [backup-simplify]: Simplify 1 into 1 18.628 * [backup-simplify]: Simplify (* 1 1) into 1 18.628 * [backup-simplify]: Simplify (/ 1 1) into 1 18.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.630 * [backup-simplify]: Simplify 0 into 0 18.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.631 * [backup-simplify]: Simplify (+ (* y 0) (* 0 y)) into 0 18.631 * [backup-simplify]: Simplify (+ 0 0) into 0 18.631 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 0 (pow y 2))))) into 0 18.631 * [taylor]: Taking taylor expansion of 0 in y 18.631 * [backup-simplify]: Simplify 0 into 0 18.631 * [backup-simplify]: Simplify 0 into 0 18.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.632 * [backup-simplify]: Simplify 0 into 0 18.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.633 * [backup-simplify]: Simplify (+ (* y 0) (+ (* 0 0) (* 0 y))) into 0 18.634 * [backup-simplify]: Simplify (* 1 1) into 1 18.634 * [backup-simplify]: Simplify (+ 0 1) into 1 18.634 * [backup-simplify]: Simplify (- (/ 0 (pow y 2)) (+ (* (/ 1 (pow y 2)) (/ 1 (pow y 2))) (* 0 (/ 0 (pow y 2))))) into (- (/ 1 (pow y 4))) 18.634 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 4))) in y 18.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y 4)) in y 18.634 * [taylor]: Taking taylor expansion of (pow y 4) in y 18.634 * [taylor]: Taking taylor expansion of y in y 18.634 * [backup-simplify]: Simplify 0 into 0 18.634 * [backup-simplify]: Simplify 1 into 1 18.635 * [backup-simplify]: Simplify (* 1 1) into 1 18.637 * [backup-simplify]: Simplify (* 1 1) into 1 18.637 * [backup-simplify]: Simplify (/ 1 1) into 1 18.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.641 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.642 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.644 * [backup-simplify]: Simplify (- 0) into 0 18.644 * [backup-simplify]: Simplify 0 into 0 18.644 * [backup-simplify]: Simplify 0 into 0 18.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.645 * [backup-simplify]: Simplify 0 into 0 18.645 * [backup-simplify]: Simplify 0 into 0 18.645 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x)))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 18.645 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 18.645 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.645 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.645 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.645 * [taylor]: Taking taylor expansion of x in y 18.645 * [backup-simplify]: Simplify x into x 18.645 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.645 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.645 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.645 * [taylor]: Taking taylor expansion of y in y 18.645 * [backup-simplify]: Simplify 0 into 0 18.645 * [backup-simplify]: Simplify 1 into 1 18.646 * [backup-simplify]: Simplify (* 1 1) into 1 18.646 * [backup-simplify]: Simplify (/ 1 1) into 1 18.646 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.646 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.646 * [taylor]: Taking taylor expansion of x in y 18.646 * [backup-simplify]: Simplify x into x 18.646 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.646 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.646 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.646 * [backup-simplify]: Simplify (+ 1 0) into 1 18.647 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 18.647 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.647 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 18.647 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.647 * [taylor]: Taking taylor expansion of x in x 18.647 * [backup-simplify]: Simplify 0 into 0 18.647 * [backup-simplify]: Simplify 1 into 1 18.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.647 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.647 * [taylor]: Taking taylor expansion of y in x 18.647 * [backup-simplify]: Simplify y into y 18.647 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.647 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.647 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.647 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.647 * [taylor]: Taking taylor expansion of x in x 18.647 * [backup-simplify]: Simplify 0 into 0 18.647 * [backup-simplify]: Simplify 1 into 1 18.647 * [backup-simplify]: Simplify (* 1 1) into 1 18.647 * [backup-simplify]: Simplify (/ 1 1) into 1 18.648 * [backup-simplify]: Simplify (* 1 1) into 1 18.648 * [backup-simplify]: Simplify (+ 0 1) into 1 18.648 * [backup-simplify]: Simplify (* 1 1) into 1 18.648 * [backup-simplify]: Simplify (/ 1 1) into 1 18.648 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 18.648 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.648 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.648 * [taylor]: Taking taylor expansion of x in x 18.648 * [backup-simplify]: Simplify 0 into 0 18.649 * [backup-simplify]: Simplify 1 into 1 18.649 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.649 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.649 * [taylor]: Taking taylor expansion of y in x 18.649 * [backup-simplify]: Simplify y into y 18.649 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.649 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.649 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.649 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.649 * [taylor]: Taking taylor expansion of x in x 18.649 * [backup-simplify]: Simplify 0 into 0 18.649 * [backup-simplify]: Simplify 1 into 1 18.649 * [backup-simplify]: Simplify (* 1 1) into 1 18.649 * [backup-simplify]: Simplify (/ 1 1) into 1 18.650 * [backup-simplify]: Simplify (* 1 1) into 1 18.650 * [backup-simplify]: Simplify (+ 0 1) into 1 18.650 * [backup-simplify]: Simplify (* 1 1) into 1 18.650 * [backup-simplify]: Simplify (/ 1 1) into 1 18.651 * [taylor]: Taking taylor expansion of 1 in y 18.651 * [backup-simplify]: Simplify 1 into 1 18.651 * [backup-simplify]: Simplify 0 into 0 18.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.652 * [backup-simplify]: Simplify (+ 0 0) into 0 18.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.653 * [taylor]: Taking taylor expansion of 0 in y 18.653 * [backup-simplify]: Simplify 0 into 0 18.653 * [backup-simplify]: Simplify 0 into 0 18.653 * [backup-simplify]: Simplify 0 into 0 18.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.654 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 18.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.655 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 18.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 18.656 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 18.656 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.656 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.656 * [taylor]: Taking taylor expansion of y in y 18.656 * [backup-simplify]: Simplify 0 into 0 18.656 * [backup-simplify]: Simplify 1 into 1 18.656 * [backup-simplify]: Simplify (* 1 1) into 1 18.656 * [backup-simplify]: Simplify (/ 1 1) into 1 18.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.657 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.658 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.661 * [backup-simplify]: Simplify (- 0) into 0 18.661 * [backup-simplify]: Simplify 0 into 0 18.661 * [backup-simplify]: Simplify 0 into 0 18.661 * [backup-simplify]: Simplify 0 into 0 18.661 * [backup-simplify]: Simplify 0 into 0 18.661 * [backup-simplify]: Simplify (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x))))) into (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) 18.661 * [approximate]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in (x y) around 0 18.661 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.661 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.661 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.661 * [taylor]: Taking taylor expansion of x in y 18.661 * [backup-simplify]: Simplify x into x 18.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.661 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.661 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.661 * [taylor]: Taking taylor expansion of y in y 18.661 * [backup-simplify]: Simplify 0 into 0 18.661 * [backup-simplify]: Simplify 1 into 1 18.662 * [backup-simplify]: Simplify (* 1 1) into 1 18.662 * [backup-simplify]: Simplify (/ 1 1) into 1 18.662 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.662 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.662 * [taylor]: Taking taylor expansion of x in y 18.662 * [backup-simplify]: Simplify x into x 18.662 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.662 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.662 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.662 * [backup-simplify]: Simplify (+ 1 0) into 1 18.663 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 18.663 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.663 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 18.663 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.663 * [taylor]: Taking taylor expansion of x in x 18.663 * [backup-simplify]: Simplify 0 into 0 18.663 * [backup-simplify]: Simplify 1 into 1 18.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.663 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.663 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.663 * [taylor]: Taking taylor expansion of y in x 18.663 * [backup-simplify]: Simplify y into y 18.663 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.663 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.663 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.663 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.663 * [taylor]: Taking taylor expansion of x in x 18.663 * [backup-simplify]: Simplify 0 into 0 18.663 * [backup-simplify]: Simplify 1 into 1 18.663 * [backup-simplify]: Simplify (* 1 1) into 1 18.663 * [backup-simplify]: Simplify (/ 1 1) into 1 18.664 * [backup-simplify]: Simplify (* 1 1) into 1 18.664 * [backup-simplify]: Simplify (+ 0 1) into 1 18.664 * [backup-simplify]: Simplify (* 1 1) into 1 18.664 * [backup-simplify]: Simplify (/ 1 1) into 1 18.664 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 18.665 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.665 * [taylor]: Taking taylor expansion of x in x 18.665 * [backup-simplify]: Simplify 0 into 0 18.665 * [backup-simplify]: Simplify 1 into 1 18.665 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.665 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.665 * [taylor]: Taking taylor expansion of y in x 18.665 * [backup-simplify]: Simplify y into y 18.665 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.665 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.665 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.665 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.665 * [taylor]: Taking taylor expansion of x in x 18.665 * [backup-simplify]: Simplify 0 into 0 18.665 * [backup-simplify]: Simplify 1 into 1 18.665 * [backup-simplify]: Simplify (* 1 1) into 1 18.665 * [backup-simplify]: Simplify (/ 1 1) into 1 18.666 * [backup-simplify]: Simplify (* 1 1) into 1 18.666 * [backup-simplify]: Simplify (+ 0 1) into 1 18.666 * [backup-simplify]: Simplify (* 1 1) into 1 18.668 * [backup-simplify]: Simplify (/ 1 1) into 1 18.668 * [taylor]: Taking taylor expansion of 1 in y 18.668 * [backup-simplify]: Simplify 1 into 1 18.668 * [backup-simplify]: Simplify 0 into 0 18.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.670 * [backup-simplify]: Simplify (+ 0 0) into 0 18.671 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.672 * [taylor]: Taking taylor expansion of 0 in y 18.672 * [backup-simplify]: Simplify 0 into 0 18.672 * [backup-simplify]: Simplify 0 into 0 18.673 * [backup-simplify]: Simplify 0 into 0 18.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.675 * [backup-simplify]: Simplify (+ (/ 1 (pow y 2)) 0) into (/ 1 (pow y 2)) 18.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.677 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow y 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow y 2)) 18.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y 2))) 18.678 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y 2))) in y 18.678 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.678 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.678 * [taylor]: Taking taylor expansion of y in y 18.678 * [backup-simplify]: Simplify 0 into 0 18.678 * [backup-simplify]: Simplify 1 into 1 18.678 * [backup-simplify]: Simplify (* 1 1) into 1 18.679 * [backup-simplify]: Simplify (/ 1 1) into 1 18.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 18.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.687 * [backup-simplify]: Simplify (- 0) into 0 18.687 * [backup-simplify]: Simplify 0 into 0 18.687 * [backup-simplify]: Simplify 0 into 0 18.687 * [backup-simplify]: Simplify 0 into 0 18.687 * [backup-simplify]: Simplify 0 into 0 18.687 * * * * [progress]: [ 4 / 4 ] generating series at (2 1) 18.688 * [backup-simplify]: Simplify (- (/ (* y y) (+ (* x x) (* y y))) (/ 1 (/ (+ (* x x) (* y y)) (* x x)))) into (- (/ (pow y 2) (+ (pow y 2) (pow x 2))) (/ (pow x 2) (+ (pow y 2) (pow x 2)))) 18.688 * [approximate]: Taking taylor expansion of (- (/ (pow y 2) (+ (pow y 2) (pow x 2))) (/ (pow x 2) (+ (pow y 2) (pow x 2)))) in (y x) around 0 18.688 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) (+ (pow y 2) (pow x 2))) (/ (pow x 2) (+ (pow y 2) (pow x 2)))) in x 18.688 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in x 18.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.688 * [taylor]: Taking taylor expansion of y in x 18.688 * [backup-simplify]: Simplify y into y 18.688 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 18.688 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.688 * [taylor]: Taking taylor expansion of y in x 18.688 * [backup-simplify]: Simplify y into y 18.688 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.688 * [taylor]: Taking taylor expansion of x in x 18.688 * [backup-simplify]: Simplify 0 into 0 18.688 * [backup-simplify]: Simplify 1 into 1 18.689 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.689 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.689 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 18.689 * [backup-simplify]: Simplify (/ (pow y 2) (pow y 2)) into 1 18.689 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in x 18.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.689 * [taylor]: Taking taylor expansion of x in x 18.689 * [backup-simplify]: Simplify 0 into 0 18.689 * [backup-simplify]: Simplify 1 into 1 18.689 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in x 18.689 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.689 * [taylor]: Taking taylor expansion of y in x 18.689 * [backup-simplify]: Simplify y into y 18.689 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.689 * [taylor]: Taking taylor expansion of x in x 18.689 * [backup-simplify]: Simplify 0 into 0 18.689 * [backup-simplify]: Simplify 1 into 1 18.690 * [backup-simplify]: Simplify (* 1 1) into 1 18.690 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.690 * [backup-simplify]: Simplify (+ (pow y 2) 0) into (pow y 2) 18.690 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.690 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) (+ (pow y 2) (pow x 2))) (/ (pow x 2) (+ (pow y 2) (pow x 2)))) in y 18.690 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 18.690 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.690 * [taylor]: Taking taylor expansion of y in y 18.690 * [backup-simplify]: Simplify 0 into 0 18.690 * [backup-simplify]: Simplify 1 into 1 18.691 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 18.691 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.691 * [taylor]: Taking taylor expansion of y in y 18.691 * [backup-simplify]: Simplify 0 into 0 18.691 * [backup-simplify]: Simplify 1 into 1 18.691 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.691 * [taylor]: Taking taylor expansion of x in y 18.691 * [backup-simplify]: Simplify x into x 18.691 * [backup-simplify]: Simplify (* 1 1) into 1 18.691 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.692 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 18.692 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.692 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 18.692 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.692 * [taylor]: Taking taylor expansion of x in y 18.692 * [backup-simplify]: Simplify x into x 18.692 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 18.692 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.692 * [taylor]: Taking taylor expansion of y in y 18.692 * [backup-simplify]: Simplify 0 into 0 18.692 * [backup-simplify]: Simplify 1 into 1 18.692 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.692 * [taylor]: Taking taylor expansion of x in y 18.692 * [backup-simplify]: Simplify x into x 18.692 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.692 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.692 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 18.693 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 18.693 * [taylor]: Taking taylor expansion of (- (/ (pow y 2) (+ (pow y 2) (pow x 2))) (/ (pow x 2) (+ (pow y 2) (pow x 2)))) in y 18.693 * [taylor]: Taking taylor expansion of (/ (pow y 2) (+ (pow y 2) (pow x 2))) in y 18.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.693 * [taylor]: Taking taylor expansion of y in y 18.693 * [backup-simplify]: Simplify 0 into 0 18.693 * [backup-simplify]: Simplify 1 into 1 18.693 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 18.693 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.693 * [taylor]: Taking taylor expansion of y in y 18.693 * [backup-simplify]: Simplify 0 into 0 18.693 * [backup-simplify]: Simplify 1 into 1 18.693 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.693 * [taylor]: Taking taylor expansion of x in y 18.693 * [backup-simplify]: Simplify x into x 18.694 * [backup-simplify]: Simplify (* 1 1) into 1 18.694 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.694 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 18.694 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.695 * [taylor]: Taking taylor expansion of (/ (pow x 2) (+ (pow y 2) (pow x 2))) in y 18.695 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.695 * [taylor]: Taking taylor expansion of x in y 18.695 * [backup-simplify]: Simplify x into x 18.695 * [taylor]: Taking taylor expansion of (+ (pow y 2) (pow x 2)) in y 18.695 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.695 * [taylor]: Taking taylor expansion of y in y 18.695 * [backup-simplify]: Simplify 0 into 0 18.695 * [backup-simplify]: Simplify 1 into 1 18.695 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.695 * [taylor]: Taking taylor expansion of x in y 18.695 * [backup-simplify]: Simplify x into x 18.695 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.695 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.695 * [backup-simplify]: Simplify (+ 0 (pow x 2)) into (pow x 2) 18.695 * [backup-simplify]: Simplify (/ (pow x 2) (pow x 2)) into 1 18.696 * [backup-simplify]: Simplify (- 1) into -1 18.697 * [backup-simplify]: Simplify (+ 0 -1) into -1 18.697 * [taylor]: Taking taylor expansion of -1 in x 18.697 * [backup-simplify]: Simplify -1 into -1 18.697 * [backup-simplify]: Simplify -1 into -1 18.697 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 18.697 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 18.697 * [backup-simplify]: Simplify (+ 0 0) into 0 18.698 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))))) into 0 18.698 * [backup-simplify]: Simplify (- 0) into 0 18.698 * [backup-simplify]: Simplify (+ 0 0) into 0 18.698 * [taylor]: Taking taylor expansion of 0 in x 18.698 * [backup-simplify]: Simplify 0 into 0 18.698 * [backup-simplify]: Simplify 0 into 0 18.698 * [backup-simplify]: Simplify 0 into 0 18.699 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 18.699 * [backup-simplify]: Simplify (* 1 1) into 1 18.700 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (* 0 x))) into 0 18.700 * [backup-simplify]: Simplify (+ 1 0) into 1 18.701 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 1 (pow x 2))) (* 0 (/ 0 (pow x 2))))) into (- (/ 1 (pow x 2))) 18.701 * [backup-simplify]: Simplify (- (- (/ 1 (pow x 2)))) into (/ 1 (pow x 2)) 18.701 * [backup-simplify]: Simplify (+ (/ 1 (pow x 2)) (/ 1 (pow x 2))) into (* 2 (/ 1 (pow x 2))) 18.701 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 18.702 * [taylor]: Taking taylor expansion of 2 in x 18.702 * [backup-simplify]: Simplify 2 into 2 18.702 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.702 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.702 * [taylor]: Taking taylor expansion of x in x 18.702 * [backup-simplify]: Simplify 0 into 0 18.702 * [backup-simplify]: Simplify 1 into 1 18.702 * [backup-simplify]: Simplify (* 1 1) into 1 18.703 * [backup-simplify]: Simplify (/ 1 1) into 1 18.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.705 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.707 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 18.707 * [backup-simplify]: Simplify 0 into 0 18.707 * [backup-simplify]: Simplify 0 into 0 18.707 * [backup-simplify]: Simplify 0 into 0 18.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.708 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 18.708 * [backup-simplify]: Simplify (+ 0 0) into 0 18.709 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 18.710 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 18.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.711 * [backup-simplify]: Simplify (+ (* x 0) (+ (* 0 0) (+ (* 0 0) (* 0 x)))) into 0 18.712 * [backup-simplify]: Simplify (+ 0 0) into 0 18.712 * [backup-simplify]: Simplify (- (/ 0 (pow x 2)) (+ (* 1 (/ 0 (pow x 2))) (* 0 (/ 1 (pow x 2))) (* (- (/ 1 (pow x 2))) (/ 0 (pow x 2))))) into 0 18.713 * [backup-simplify]: Simplify (- 0) into 0 18.713 * [backup-simplify]: Simplify (+ 0 0) into 0 18.713 * [taylor]: Taking taylor expansion of 0 in x 18.713 * [backup-simplify]: Simplify 0 into 0 18.713 * [backup-simplify]: Simplify 0 into 0 18.713 * [backup-simplify]: Simplify -1 into -1 18.714 * [backup-simplify]: Simplify (- (/ (* (/ 1 y) (/ 1 y)) (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y)))) (/ 1 (/ (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 y) (/ 1 y))) (* (/ 1 x) (/ 1 x))))) into (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 18.714 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (y x) around 0 18.714 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 18.714 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 18.714 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.714 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.714 * [taylor]: Taking taylor expansion of y in x 18.714 * [backup-simplify]: Simplify y into y 18.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.714 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.714 * [taylor]: Taking taylor expansion of y in x 18.714 * [backup-simplify]: Simplify y into y 18.714 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.715 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.715 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.715 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.715 * [taylor]: Taking taylor expansion of x in x 18.715 * [backup-simplify]: Simplify 0 into 0 18.715 * [backup-simplify]: Simplify 1 into 1 18.715 * [backup-simplify]: Simplify (* 1 1) into 1 18.716 * [backup-simplify]: Simplify (/ 1 1) into 1 18.716 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.716 * [backup-simplify]: Simplify (+ 0 1) into 1 18.716 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 18.716 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.716 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 18.716 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.716 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.717 * [taylor]: Taking taylor expansion of x in x 18.717 * [backup-simplify]: Simplify 0 into 0 18.717 * [backup-simplify]: Simplify 1 into 1 18.717 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.717 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.717 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.717 * [taylor]: Taking taylor expansion of y in x 18.717 * [backup-simplify]: Simplify y into y 18.717 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.717 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.717 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.717 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.717 * [taylor]: Taking taylor expansion of x in x 18.717 * [backup-simplify]: Simplify 0 into 0 18.717 * [backup-simplify]: Simplify 1 into 1 18.718 * [backup-simplify]: Simplify (* 1 1) into 1 18.718 * [backup-simplify]: Simplify (/ 1 1) into 1 18.718 * [backup-simplify]: Simplify (* 1 1) into 1 18.719 * [backup-simplify]: Simplify (+ 0 1) into 1 18.719 * [backup-simplify]: Simplify (* 1 1) into 1 18.719 * [backup-simplify]: Simplify (/ 1 1) into 1 18.720 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 18.720 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.720 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.720 * [taylor]: Taking taylor expansion of y in y 18.720 * [backup-simplify]: Simplify 0 into 0 18.720 * [backup-simplify]: Simplify 1 into 1 18.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.720 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.720 * [taylor]: Taking taylor expansion of y in y 18.720 * [backup-simplify]: Simplify 0 into 0 18.720 * [backup-simplify]: Simplify 1 into 1 18.720 * [backup-simplify]: Simplify (* 1 1) into 1 18.721 * [backup-simplify]: Simplify (/ 1 1) into 1 18.721 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.721 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.721 * [taylor]: Taking taylor expansion of x in y 18.721 * [backup-simplify]: Simplify x into x 18.721 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.721 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.722 * [backup-simplify]: Simplify (* 1 1) into 1 18.722 * [backup-simplify]: Simplify (+ 1 0) into 1 18.722 * [backup-simplify]: Simplify (* 1 1) into 1 18.723 * [backup-simplify]: Simplify (/ 1 1) into 1 18.723 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.723 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.723 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.723 * [taylor]: Taking taylor expansion of x in y 18.723 * [backup-simplify]: Simplify x into x 18.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.723 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.723 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.723 * [taylor]: Taking taylor expansion of y in y 18.723 * [backup-simplify]: Simplify 0 into 0 18.723 * [backup-simplify]: Simplify 1 into 1 18.724 * [backup-simplify]: Simplify (* 1 1) into 1 18.724 * [backup-simplify]: Simplify (/ 1 1) into 1 18.724 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.724 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.724 * [taylor]: Taking taylor expansion of x in y 18.724 * [backup-simplify]: Simplify x into x 18.724 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.724 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.724 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.725 * [backup-simplify]: Simplify (+ 1 0) into 1 18.725 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 18.725 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.725 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 18.725 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.725 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.725 * [taylor]: Taking taylor expansion of y in y 18.725 * [backup-simplify]: Simplify 0 into 0 18.725 * [backup-simplify]: Simplify 1 into 1 18.725 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.725 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.725 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.725 * [taylor]: Taking taylor expansion of y in y 18.726 * [backup-simplify]: Simplify 0 into 0 18.726 * [backup-simplify]: Simplify 1 into 1 18.726 * [backup-simplify]: Simplify (* 1 1) into 1 18.726 * [backup-simplify]: Simplify (/ 1 1) into 1 18.726 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.726 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.726 * [taylor]: Taking taylor expansion of x in y 18.726 * [backup-simplify]: Simplify x into x 18.727 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.727 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.727 * [backup-simplify]: Simplify (* 1 1) into 1 18.728 * [backup-simplify]: Simplify (+ 1 0) into 1 18.728 * [backup-simplify]: Simplify (* 1 1) into 1 18.728 * [backup-simplify]: Simplify (/ 1 1) into 1 18.728 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.728 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.728 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.728 * [taylor]: Taking taylor expansion of x in y 18.728 * [backup-simplify]: Simplify x into x 18.728 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.729 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.729 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.729 * [taylor]: Taking taylor expansion of y in y 18.729 * [backup-simplify]: Simplify 0 into 0 18.729 * [backup-simplify]: Simplify 1 into 1 18.729 * [backup-simplify]: Simplify (* 1 1) into 1 18.729 * [backup-simplify]: Simplify (/ 1 1) into 1 18.729 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.729 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.729 * [taylor]: Taking taylor expansion of x in y 18.730 * [backup-simplify]: Simplify x into x 18.730 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.730 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.730 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.730 * [backup-simplify]: Simplify (+ 1 0) into 1 18.730 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 18.731 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.731 * [backup-simplify]: Simplify (+ 1 0) into 1 18.731 * [taylor]: Taking taylor expansion of 1 in x 18.731 * [backup-simplify]: Simplify 1 into 1 18.731 * [backup-simplify]: Simplify 1 into 1 18.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.733 * [backup-simplify]: Simplify (+ 0 0) into 0 18.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.735 * [backup-simplify]: Simplify (+ 0 0) into 0 18.736 * [taylor]: Taking taylor expansion of 0 in x 18.736 * [backup-simplify]: Simplify 0 into 0 18.736 * [backup-simplify]: Simplify 0 into 0 18.736 * [backup-simplify]: Simplify 0 into 0 18.737 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.738 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 18.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.740 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 18.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 18.741 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 18.741 * [backup-simplify]: Simplify (+ (- (/ 1 (pow x 2))) (- (/ 1 (pow x 2)))) into (- (* 2 (/ 1 (pow x 2)))) 18.741 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x 18.741 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 18.741 * [taylor]: Taking taylor expansion of 2 in x 18.741 * [backup-simplify]: Simplify 2 into 2 18.741 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.741 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.741 * [taylor]: Taking taylor expansion of x in x 18.741 * [backup-simplify]: Simplify 0 into 0 18.742 * [backup-simplify]: Simplify 1 into 1 18.742 * [backup-simplify]: Simplify (* 1 1) into 1 18.742 * [backup-simplify]: Simplify (/ 1 1) into 1 18.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.747 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 18.747 * [backup-simplify]: Simplify (- 0) into 0 18.747 * [backup-simplify]: Simplify 0 into 0 18.747 * [backup-simplify]: Simplify 0 into 0 18.747 * [backup-simplify]: Simplify 0 into 0 18.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.750 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 18.750 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 18.750 * [backup-simplify]: Simplify (+ 0 0) into 0 18.751 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0 18.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)))) into 0 18.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.756 * [backup-simplify]: Simplify (+ 0 0) into 0 18.756 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 18.757 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 18.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 18.757 * [backup-simplify]: Simplify (- 0) into 0 18.758 * [backup-simplify]: Simplify (+ 0 0) into 0 18.758 * [taylor]: Taking taylor expansion of 0 in x 18.758 * [backup-simplify]: Simplify 0 into 0 18.758 * [backup-simplify]: Simplify 0 into 0 18.758 * [backup-simplify]: Simplify 1 into 1 18.759 * [backup-simplify]: Simplify (- (/ (* (/ 1 (- y)) (/ 1 (- y))) (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y))))) (/ 1 (/ (+ (* (/ 1 (- x)) (/ 1 (- x))) (* (/ 1 (- y)) (/ 1 (- y)))) (* (/ 1 (- x)) (/ 1 (- x)))))) into (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) 18.759 * [approximate]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in (y x) around 0 18.759 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in x 18.759 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 18.759 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.759 * [taylor]: Taking taylor expansion of y in x 18.759 * [backup-simplify]: Simplify y into y 18.759 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.759 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.759 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.759 * [taylor]: Taking taylor expansion of y in x 18.759 * [backup-simplify]: Simplify y into y 18.759 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.759 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.759 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.759 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.759 * [taylor]: Taking taylor expansion of x in x 18.759 * [backup-simplify]: Simplify 0 into 0 18.759 * [backup-simplify]: Simplify 1 into 1 18.760 * [backup-simplify]: Simplify (* 1 1) into 1 18.760 * [backup-simplify]: Simplify (/ 1 1) into 1 18.760 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.761 * [backup-simplify]: Simplify (+ 0 1) into 1 18.761 * [backup-simplify]: Simplify (* (pow y 2) 1) into (pow y 2) 18.761 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.761 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in x 18.761 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in x 18.761 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.761 * [taylor]: Taking taylor expansion of x in x 18.762 * [backup-simplify]: Simplify 0 into 0 18.762 * [backup-simplify]: Simplify 1 into 1 18.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in x 18.762 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in x 18.762 * [taylor]: Taking taylor expansion of (pow y 2) in x 18.762 * [taylor]: Taking taylor expansion of y in x 18.762 * [backup-simplify]: Simplify y into y 18.762 * [backup-simplify]: Simplify (* y y) into (pow y 2) 18.762 * [backup-simplify]: Simplify (/ 1 (pow y 2)) into (/ 1 (pow y 2)) 18.762 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.762 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.762 * [taylor]: Taking taylor expansion of x in x 18.762 * [backup-simplify]: Simplify 0 into 0 18.762 * [backup-simplify]: Simplify 1 into 1 18.762 * [backup-simplify]: Simplify (* 1 1) into 1 18.763 * [backup-simplify]: Simplify (/ 1 1) into 1 18.763 * [backup-simplify]: Simplify (* 1 1) into 1 18.764 * [backup-simplify]: Simplify (+ 0 1) into 1 18.764 * [backup-simplify]: Simplify (* 1 1) into 1 18.764 * [backup-simplify]: Simplify (/ 1 1) into 1 18.764 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 18.765 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.765 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.765 * [taylor]: Taking taylor expansion of y in y 18.765 * [backup-simplify]: Simplify 0 into 0 18.765 * [backup-simplify]: Simplify 1 into 1 18.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.765 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.765 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.765 * [taylor]: Taking taylor expansion of y in y 18.765 * [backup-simplify]: Simplify 0 into 0 18.765 * [backup-simplify]: Simplify 1 into 1 18.765 * [backup-simplify]: Simplify (* 1 1) into 1 18.766 * [backup-simplify]: Simplify (/ 1 1) into 1 18.766 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.766 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.766 * [taylor]: Taking taylor expansion of x in y 18.766 * [backup-simplify]: Simplify x into x 18.766 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.766 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.766 * [backup-simplify]: Simplify (* 1 1) into 1 18.767 * [backup-simplify]: Simplify (+ 1 0) into 1 18.767 * [backup-simplify]: Simplify (* 1 1) into 1 18.768 * [backup-simplify]: Simplify (/ 1 1) into 1 18.768 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.768 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.768 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.768 * [taylor]: Taking taylor expansion of x in y 18.768 * [backup-simplify]: Simplify x into x 18.768 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.768 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.768 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.768 * [taylor]: Taking taylor expansion of y in y 18.768 * [backup-simplify]: Simplify 0 into 0 18.768 * [backup-simplify]: Simplify 1 into 1 18.768 * [backup-simplify]: Simplify (* 1 1) into 1 18.769 * [backup-simplify]: Simplify (/ 1 1) into 1 18.769 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.769 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.769 * [taylor]: Taking taylor expansion of x in y 18.769 * [backup-simplify]: Simplify x into x 18.769 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.769 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.769 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.770 * [backup-simplify]: Simplify (+ 1 0) into 1 18.770 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 18.770 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.770 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))))) in y 18.770 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.770 * [taylor]: Taking taylor expansion of (* (pow y 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.770 * [taylor]: Taking taylor expansion of y in y 18.770 * [backup-simplify]: Simplify 0 into 0 18.770 * [backup-simplify]: Simplify 1 into 1 18.770 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.770 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.770 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.770 * [taylor]: Taking taylor expansion of y in y 18.770 * [backup-simplify]: Simplify 0 into 0 18.770 * [backup-simplify]: Simplify 1 into 1 18.771 * [backup-simplify]: Simplify (* 1 1) into 1 18.771 * [backup-simplify]: Simplify (/ 1 1) into 1 18.771 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.771 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.771 * [taylor]: Taking taylor expansion of x in y 18.771 * [backup-simplify]: Simplify x into x 18.771 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.772 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.772 * [backup-simplify]: Simplify (* 1 1) into 1 18.772 * [backup-simplify]: Simplify (+ 1 0) into 1 18.773 * [backup-simplify]: Simplify (* 1 1) into 1 18.773 * [backup-simplify]: Simplify (/ 1 1) into 1 18.773 * [taylor]: Taking taylor expansion of (/ 1 (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))))) in y 18.773 * [taylor]: Taking taylor expansion of (* (pow x 2) (+ (/ 1 (pow y 2)) (/ 1 (pow x 2)))) in y 18.773 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.773 * [taylor]: Taking taylor expansion of x in y 18.773 * [backup-simplify]: Simplify x into x 18.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y 2)) (/ 1 (pow x 2))) in y 18.773 * [taylor]: Taking taylor expansion of (/ 1 (pow y 2)) in y 18.773 * [taylor]: Taking taylor expansion of (pow y 2) in y 18.773 * [taylor]: Taking taylor expansion of y in y 18.773 * [backup-simplify]: Simplify 0 into 0 18.773 * [backup-simplify]: Simplify 1 into 1 18.774 * [backup-simplify]: Simplify (* 1 1) into 1 18.774 * [backup-simplify]: Simplify (/ 1 1) into 1 18.774 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in y 18.774 * [taylor]: Taking taylor expansion of (pow x 2) in y 18.774 * [taylor]: Taking taylor expansion of x in y 18.774 * [backup-simplify]: Simplify x into x 18.774 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.775 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.775 * [backup-simplify]: Simplify (* x x) into (pow x 2) 18.775 * [backup-simplify]: Simplify (+ 1 0) into 1 18.775 * [backup-simplify]: Simplify (* (pow x 2) 1) into (pow x 2) 18.775 * [backup-simplify]: Simplify (/ 1 (pow x 2)) into (/ 1 (pow x 2)) 18.776 * [backup-simplify]: Simplify (+ 1 0) into 1 18.776 * [taylor]: Taking taylor expansion of 1 in x 18.776 * [backup-simplify]: Simplify 1 into 1 18.776 * [backup-simplify]: Simplify 1 into 1 18.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.778 * [backup-simplify]: Simplify (+ 0 0) into 0 18.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.780 * [backup-simplify]: Simplify (+ 0 0) into 0 18.780 * [taylor]: Taking taylor expansion of 0 in x 18.780 * [backup-simplify]: Simplify 0 into 0 18.780 * [backup-simplify]: Simplify 0 into 0 18.781 * [backup-simplify]: Simplify 0 into 0 18.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.783 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow x 2))) into (/ 1 (pow x 2)) 18.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.784 * [backup-simplify]: Simplify (+ (* 1 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1))) into (/ 1 (pow x 2)) 18.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow x 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow x 2))) 18.785 * [backup-simplify]: Simplify (- (/ 1 (pow x 2))) into (- (/ 1 (pow x 2))) 18.786 * [backup-simplify]: Simplify (+ (- (/ 1 (pow x 2))) (- (/ 1 (pow x 2)))) into (- (* 2 (/ 1 (pow x 2)))) 18.786 * [taylor]: Taking taylor expansion of (- (* 2 (/ 1 (pow x 2)))) in x 18.786 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow x 2))) in x 18.786 * [taylor]: Taking taylor expansion of 2 in x 18.786 * [backup-simplify]: Simplify 2 into 2 18.786 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 18.786 * [taylor]: Taking taylor expansion of (pow x 2) in x 18.786 * [taylor]: Taking taylor expansion of x in x 18.786 * [backup-simplify]: Simplify 0 into 0 18.786 * [backup-simplify]: Simplify 1 into 1 18.786 * [backup-simplify]: Simplify (* 1 1) into 1 18.787 * [backup-simplify]: Simplify (/ 1 1) into 1 18.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 18.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.791 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0 18.792 * [backup-simplify]: Simplify (- 0) into 0 18.792 * [backup-simplify]: Simplify 0 into 0 18.792 * [backup-simplify]: Simplify 0 into 0 18.792 * [backup-simplify]: Simplify 0 into 0 18.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 18.794 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 18.794 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 18.795 * [backup-simplify]: Simplify (+ 0 0) into 0 18.796 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 18.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1 (pow x 2))) (+ (* 0 0) (* 0 1)))) into 0 18.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow x 2)) 1)) (* (- (/ 1 (pow x 2))) (/ 0 1)))) into 0 18.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 18.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 18.800 * [backup-simplify]: Simplify (+ 0 0) into 0 18.800 * [backup-simplify]: Simplify (+ (* x 0) (* 0 x)) into 0 18.801 * [backup-simplify]: Simplify (+ (* (pow x 2) 0) (* 0 1)) into 0 18.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow x 2)) (/ 0 (pow x 2))))) into 0 18.802 * [backup-simplify]: Simplify (- 0) into 0 18.802 * [backup-simplify]: Simplify (+ 0 0) into 0 18.802 * [taylor]: Taking taylor expansion of 0 in x 18.802 * [backup-simplify]: Simplify 0 into 0 18.802 * [backup-simplify]: Simplify 0 into 0 18.802 * [backup-simplify]: Simplify 1 into 1 18.802 * * * [progress]: simplifying candidates 18.802 * * * * [progress]: [ 1 / 4439 ] simplifiying candidate # 18.802 * * * * [progress]: [ 2 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 3 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 4 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 5 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 6 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 7 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 8 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 9 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 10 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 11 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 12 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 13 / 4439 ] simplifiying candidate # 18.803 * * * * [progress]: [ 14 / 4439 ] simplifiying candidate # 18.804 * * * * [progress]: [ 15 / 4439 ] simplifiying candidate # 18.804 * * * * [progress]: [ 16 / 4439 ] simplifiying candidate # 18.804 * * * * 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(+ (* x x) (* y y)) (* x x))))))))> 19.164 * * * * [progress]: [ 4428 / 4439 ] simplifiying candidate # 19.164 * * * * [progress]: [ 4429 / 4439 ] simplifiying candidate # 19.164 * * * * [progress]: [ 4430 / 4439 ] simplifiying candidate # 19.164 * * * * [progress]: [ 4431 / 4439 ] simplifiying candidate # 19.164 * * * * [progress]: [ 4432 / 4439 ] simplifiying candidate # 19.165 * * * * [progress]: [ 4433 / 4439 ] simplifiying candidate # 19.165 * * * * [progress]: [ 4434 / 4439 ] simplifiying candidate # 19.165 * * * * [progress]: [ 4435 / 4439 ] simplifiying candidate # 19.165 * * * * [progress]: [ 4436 / 4439 ] simplifiying candidate # 19.165 * * * * [progress]: [ 4437 / 4439 ] simplifiying candidate # 19.165 * * * * [progress]: [ 4438 / 4439 ] simplifiying candidate # 19.165 * * * * [progress]: [ 4439 / 4439 ] simplifiying candidate # 19.313 * [simplify]: Simplifying: (- (+ (log y) (log y)) (log (+ (* x x) (* y y)))) (- (log (* y y)) (log (+ (* x x) (* y y)))) (log (/ (* y y) (+ 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[regimes]: Trying to branch on x from (# # #) 29.555 * * * [regime]: Found split indices: #